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<a href="#pub-methods">Public Member Functions</a> |
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<a href="#pri-methods">Private Member Functions</a> |
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<a href="#pri-attribs">Private Attributes</a> |
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<a href="../../dd/dfc/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d-members.html">List of all members</a> </div>
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<div class="title">range_queries::heavy_light_decomposition::HLD< X > Class Template Reference</div> </div>
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<p>The Heavy-Light Decomposition class.
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<a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#details">More...</a></p>
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Inheritance diagram for range_queries::heavy_light_decomposition::HLD< X >:</div>
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Collaboration diagram for range_queries::heavy_light_decomposition::HLD< X >:</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a6e486767434e44076c1ac374a22da726"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a6e486767434e44076c1ac374a22da726">HLD</a> (int nodes)</td></tr>
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<tr class="memdesc:a6e486767434e44076c1ac374a22da726"><td class="mdescLeft"> </td><td class="mdescRight">Class parameterized constructor. Resizes the and initilizes the data members. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a6e486767434e44076c1ac374a22da726">More...</a><br /></td></tr>
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<tr class="separator:a6e486767434e44076c1ac374a22da726"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae9e979edd69678b85665c01e2ee97828"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828">init</a> ()</td></tr>
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<tr class="memdesc:ae9e979edd69678b85665c01e2ee97828"><td class="mdescLeft"> </td><td class="mdescRight">This function must be called after the tree adjacency list and node values are populated The function initializes the required parametes, and populates the segment tree. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#ae9e979edd69678b85665c01e2ee97828">More...</a><br /></td></tr>
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<tr class="separator:ae9e979edd69678b85665c01e2ee97828"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9f1cb54ed09fde931bf3220d75ee4c57"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a9f1cb54ed09fde931bf3220d75ee4c57">update</a> (int <a class="el" href="../../d5/da1/structnode.html">node</a>, X val)</td></tr>
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<tr class="memdesc:a9f1cb54ed09fde931bf3220d75ee4c57"><td class="mdescLeft"> </td><td class="mdescRight">This function updates the value at node with val. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a9f1cb54ed09fde931bf3220d75ee4c57">More...</a><br /></td></tr>
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<tr class="separator:a9f1cb54ed09fde931bf3220d75ee4c57"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4dfbf5d9df825eeb63b294c6849bdcab"><td class="memItemLeft" align="right" valign="top">X </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a4dfbf5d9df825eeb63b294c6849bdcab">query</a> (int a, int b)</td></tr>
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<tr class="memdesc:a4dfbf5d9df825eeb63b294c6849bdcab"><td class="mdescLeft"> </td><td class="mdescRight">This function returns the sum of node values in the simple path from from node_1 to node_2. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a4dfbf5d9df825eeb63b294c6849bdcab">More...</a><br /></td></tr>
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<tr class="separator:a4dfbf5d9df825eeb63b294c6849bdcab"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="inherit_header pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree')"><img src="../../closed.png" alt="-"/> Public Member Functions inherited from <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="memitem:a835fb2bbb27307b8cacad9b287968bc1 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a835fb2bbb27307b8cacad9b287968bc1">Tree</a> (int nodes)</td></tr>
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<tr class="memdesc:a835fb2bbb27307b8cacad9b287968bc1 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">Class parameterized constructor, resizes the and initializes the data members. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a835fb2bbb27307b8cacad9b287968bc1">More...</a><br /></td></tr>
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<tr class="separator:a835fb2bbb27307b8cacad9b287968bc1 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a79ab4601c4a95c0902ac04e779e5f54d inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a79ab4601c4a95c0902ac04e779e5f54d">add_edge</a> (const int u, const int v)</td></tr>
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<tr class="memdesc:a79ab4601c4a95c0902ac04e779e5f54d inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">Adds an undirected edge from node u to node v in the tree. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a79ab4601c4a95c0902ac04e779e5f54d">More...</a><br /></td></tr>
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<tr class="separator:a79ab4601c4a95c0902ac04e779e5f54d inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab916d554afa8ca5230b4310c2c69fae0 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab916d554afa8ca5230b4310c2c69fae0">change_root</a> (int new_root)</td></tr>
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<tr class="memdesc:ab916d554afa8ca5230b4310c2c69fae0 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">Set the root for the tree. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab916d554afa8ca5230b4310c2c69fae0">More...</a><br /></td></tr>
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<tr class="separator:ab916d554afa8ca5230b4310c2c69fae0 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a04cd96efaba147b19d3afc769b90ff70 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a04cd96efaba147b19d3afc769b90ff70">set_node_val</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< X > &node_val)</td></tr>
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<tr class="memdesc:a04cd96efaba147b19d3afc769b90ff70 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">Set the values for all the nodes. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a04cd96efaba147b19d3afc769b90ff70">More...</a><br /></td></tr>
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<tr class="separator:a04cd96efaba147b19d3afc769b90ff70 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad22d760a5a33545a70e7ea5e1786c8dc inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ad22d760a5a33545a70e7ea5e1786c8dc">init</a> ()</td></tr>
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<tr class="memdesc:ad22d760a5a33545a70e7ea5e1786c8dc inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">This function must be called after the tree adjacency list and node values are populated The function initializes the required parameters, and populates the segment tree. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ad22d760a5a33545a70e7ea5e1786c8dc">More...</a><br /></td></tr>
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<tr class="separator:ad22d760a5a33545a70e7ea5e1786c8dc inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac7761255f2ba06b398b9aae5e4dce5f3 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ac7761255f2ba06b398b9aae5e4dce5f3">lift</a> (int *const p, int dist)</td></tr>
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<tr class="memdesc:ac7761255f2ba06b398b9aae5e4dce5f3 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">The function lifts a node, k units up the tree. The lifting is done in place, and the result is stored in the address pointed by p. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ac7761255f2ba06b398b9aae5e4dce5f3">More...</a><br /></td></tr>
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<tr class="separator:ac7761255f2ba06b398b9aae5e4dce5f3 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8f7bca1746d40f21ad832fcea59aa6c6 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a8f7bca1746d40f21ad832fcea59aa6c6">kth_ancestor</a> (int p, const int &dist)</td></tr>
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<tr class="memdesc:a8f7bca1746d40f21ad832fcea59aa6c6 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">The function returns the kth ancestor of a node. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a8f7bca1746d40f21ad832fcea59aa6c6">More...</a><br /></td></tr>
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<tr class="memitem:ae2b407e64aaf9878fbee7ee6efe9c7d4 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae2b407e64aaf9878fbee7ee6efe9c7d4">lca</a> (int a, int b)</td></tr>
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<tr class="memdesc:ae2b407e64aaf9878fbee7ee6efe9c7d4 inherit pub_methods_classrange__queries_1_1heavy__light__decomposition_1_1_tree"><td class="mdescLeft"> </td><td class="mdescRight">The function returns the least common ancestor of two nodes. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae2b407e64aaf9878fbee7ee6efe9c7d4">More...</a><br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:af64848d6630c39d0f09ce2359cc7c4f8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8">dfs_hc</a> (int u, int p=-1)</td></tr>
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<tr class="memdesc:af64848d6630c39d0f09ce2359cc7c4f8"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to assign heavy child to each node (-1 for a leaf node) <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8">More...</a><br /></td></tr>
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<tr class="memitem:a2dfbda148aad0bfaba2ebfda9ebc915a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">dfs_par</a> (int u, int p=-1)</td></tr>
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<tr class="memdesc:a2dfbda148aad0bfaba2ebfda9ebc915a"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to assign highest parent that can be reached though heavy chains. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">More...</a><br /></td></tr>
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<tr class="memitem:a0579062b384e54b611b80c6337c7f2c8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">dfs_labels</a> (int u, int p=-1)</td></tr>
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<tr class="memdesc:a0579062b384e54b611b80c6337c7f2c8"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to lable the nodes so that heavy chains have a contigous lable. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">More...</a><br /></td></tr>
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<tr class="memitem:a7d5b40c076347a6aabfb37a0590f2f24"><td class="memItemLeft" align="right" valign="top">X </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a7d5b40c076347a6aabfb37a0590f2f24">chain_query</a> (int a, int b)</td></tr>
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<tr class="memdesc:a7d5b40c076347a6aabfb37a0590f2f24"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to break down a path query into two chain queries. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a7d5b40c076347a6aabfb37a0590f2f24">More...</a><br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a722cc7cf2c3e4d15583601a48b09776f"><td class="memItemLeft" align="right" valign="top"><a id="a722cc7cf2c3e4d15583601a48b09776f"></a>
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int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a722cc7cf2c3e4d15583601a48b09776f">label</a></td></tr>
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<tr class="memdesc:a722cc7cf2c3e4d15583601a48b09776f"><td class="mdescLeft"> </td><td class="mdescRight">utility member to assign labels in <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8" title="Utility function to lable the nodes so that heavy chains have a contigous lable.">dfs_labels()</a> <br /></td></tr>
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<tr class="memitem:aa86a91ae0cd7898990a8170a2f2c9cda"><td class="memItemLeft" align="right" valign="top"><a id="aa86a91ae0cd7898990a8170a2f2c9cda"></a>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a></td></tr>
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<tr class="memdesc:aa86a91ae0cd7898990a8170a2f2c9cda"><td class="mdescLeft"> </td><td class="mdescRight">stores the label of a node <br /></td></tr>
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<tr class="memitem:a84424f180f12b514eaab57a6aa20b104"><td class="memItemLeft" align="right" valign="top"><a id="a84424f180f12b514eaab57a6aa20b104"></a>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a></td></tr>
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<tr class="memdesc:a84424f180f12b514eaab57a6aa20b104"><td class="mdescLeft"> </td><td class="mdescRight">stores the heavy child of a node <br /></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a></td></tr>
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<tr class="memdesc:a1b336474d17eff1aa4be73d4068dc725"><td class="mdescLeft"> </td><td class="mdescRight">stores the top of the heavy chain from a node <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><h3>template<typename X><br />
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class range_queries::heavy_light_decomposition::HLD< X ></h3>
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<p>The Heavy-Light Decomposition class. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">the</td><td>data type of the values stored in the tree nodes </td></tr>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<a id="a6e486767434e44076c1ac374a22da726"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6e486767434e44076c1ac374a22da726">◆ </a></span>HLD()</h2>
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<div class="memitem">
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template<typename X > </div>
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<td class="memname"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::<a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">HLD</a> </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>nodes</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
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<p>Class parameterized constructor. Resizes the and initilizes the data members. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<div class="fragment"><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  : Tree<X>(nodes), SG<X>(nodes) {</div>
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<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="comment">/* Initialization and resize vectors */</span></div>
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<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a722cc7cf2c3e4d15583601a48b09776f">label</a> = 0;</div>
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<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">Tree<X>::t_nodes</a>, -1);</div>
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">Tree<X>::t_nodes</a>, -1);</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/resize.html">resize</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">Tree<X>::t_nodes</a>);</div>
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<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/iota.html">iota</a>(<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(), 0);</div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  }</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="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_a6e486767434e44076c1ac374a22da726_cgraph.svg" width="352" height="118"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="groupheader">Member Function Documentation</h2>
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<a id="a7d5b40c076347a6aabfb37a0590f2f24"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a7d5b40c076347a6aabfb37a0590f2f24">◆ </a></span>chain_query()</h2>
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template<typename X > </div>
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<td class="memname">X <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::chain_query </td>
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<td>(</td>
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<td>)</td>
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<p>Utility function to break down a path query into two chain queries. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">a</td><td>node where the path starts </td></tr>
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<tr><td class="paramname">b</td><td>node where the path ends a and b must belong to a single root to leaf chain </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>the sum of ndoe values in the simple path from a to b </dd></dl>
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<div class="fragment"><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  {</div>
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<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  X ret = <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#aa7f93971a9f891e0bbb7023081f379d5">SG<X>::sret_init</a>;</div>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[a] < <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[b]) {</div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(a, b);</div>
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<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  }</div>
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">while</span> (<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[a] >= <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[b]) {</div>
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keywordtype">int</span> l = <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[a]];</div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordtype">int</span> r = <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>[a];</div>
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<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[a]] < <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[b]) {</div>
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<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  l += <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[b] - <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">Tree<X>::t_depth</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[a]];</div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  }</div>
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<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  ret = <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74">SG<X>::combine</a>(ret, <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a1fda852e6e522707fd97f61cdb0a2591">SG<X>::query</a>(l, r));</div>
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  a = <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">Tree<X>::t_par</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[a]][0];</div>
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<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <span class="keywordflow">if</span> (a == -1) {</div>
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<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  }</div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  }</div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordflow">return</span> ret;</div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  }</div>
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<a id="af64848d6630c39d0f09ce2359cc7c4f8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af64848d6630c39d0f09ce2359cc7c4f8">◆ </a></span>dfs_hc()</h2>
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<div class="memitem">
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<div class="memproto">
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template<typename X > </div>
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<table class="memname">
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<tr>
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<td class="memname">void <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::dfs_hc </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>u</em>, </td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>p</em> = <code>-1</code> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
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</tr>
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</div><div class="memdoc">
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<p>Utility function to assign heavy child to each node (-1 for a leaf node) </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">u</td><td>current dfs node </td></tr>
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<tr><td class="paramname">p</td><td>the parent of node u </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  {</div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordtype">int</span> hc_size = -1, hc_id = -1;</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> &v : <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab1aeaefa1bd97b867c652ba916fbdb43">Tree<X>::t_adj</a>[u]) {</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">if</span> (v ^ p) {</div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8">dfs_hc</a>(v, u);</div>
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<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ada1494fccbc7f1f07b2f9be9f7e07ad5">Tree<X>::t_size</a>[v] > hc_size) {</div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  hc_size = <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ada1494fccbc7f1f07b2f9be9f7e07ad5">Tree<X>::t_size</a>[v];</div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  hc_id = v;</div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  }</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u] = hc_id;</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  }</div>
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<a id="a0579062b384e54b611b80c6337c7f2c8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a0579062b384e54b611b80c6337c7f2c8">◆ </a></span>dfs_labels()</h2>
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<div class="memitem">
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<div class="memproto">
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template<typename X > </div>
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<td class="memname">void <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::dfs_labels </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>u</em>, </td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>p</em> = <code>-1</code> </td>
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<td>)</td>
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<td></td><td></td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
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<p>Utility function to lable the nodes so that heavy chains have a contigous lable. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">u</td><td>current dfs node </td></tr>
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<tr><td class="paramname">p</td><td>the parent of node u </td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  {</div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>[u] = <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a722cc7cf2c3e4d15583601a48b09776f">label</a>++;</div>
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<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u] != -1) {</div>
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<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">dfs_labels</a>(<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u], u);</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  }</div>
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<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> &v : <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab1aeaefa1bd97b867c652ba916fbdb43">Tree<X>::t_adj</a>[u]) {</div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">if</span> (v ^ p and v ^ <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u]) {</div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">dfs_labels</a>(v, u);</div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  }</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2dfbda148aad0bfaba2ebfda9ebc915a">◆ </a></span>dfs_par()</h2>
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<div class="memitem">
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template<typename X > </div>
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<td class="memname">void <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::dfs_par </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>u</em>, </td>
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<td class="paramname"><em>p</em> = <code>-1</code> </td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
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</div><div class="memdoc">
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<p>Utility function to assign highest parent that can be reached though heavy chains. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">u</td><td>current dfs node </td></tr>
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<tr><td class="paramname">p</td><td>the parent of node u </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  {</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u] != -1) {</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u]] = <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">h_parent</a>[u];</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">dfs_par</a>(<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u], u);</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  }</div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> &v : <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab1aeaefa1bd97b867c652ba916fbdb43">Tree<X>::t_adj</a>[u]) {</div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordflow">if</span> (v ^ p and v ^ <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">h_heavychlid</a>[u]) {</div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">dfs_par</a>(v, u);</div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  }</div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  }</div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  }</div>
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</div><!-- fragment -->
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</div>
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<a id="ae9e979edd69678b85665c01e2ee97828"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae9e979edd69678b85665c01e2ee97828">◆ </a></span>init()</h2>
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<div class="memitem">
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template<typename X > </div>
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<td class="memname">void <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::init </td>
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<td>(</td>
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<span class="mlabels"><span class="mlabel">inline</span></span> </td>
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<p>This function must be called after the tree adjacency list and node values are populated The function initializes the required parametes, and populates the segment tree. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  {</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ad22d760a5a33545a70e7ea5e1786c8dc">Tree<X>::init</a>();</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  </div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="comment">// Fill the heavy child, greatest parent, and labels</span></div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a722cc7cf2c3e4d15583601a48b09776f">label</a> = 0;</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8">dfs_hc</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#aa6c37e840355b9fb2105181c578694e8">Tree<X>::t_root</a>);</div>
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<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">dfs_par</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#aa6c37e840355b9fb2105181c578694e8">Tree<X>::t_root</a>);</div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">dfs_labels</a>(<a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#aa6c37e840355b9fb2105181c578694e8">Tree<X>::t_root</a>);</div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  </div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="comment">// Segment Tree Initialization</span></div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < Tree<X>::t_nodes; i++) {</div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#afbf8a9cb9449d5ca844f4e141a801e6a">SG<X>::s_tree</a>[<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>[i] + <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">Tree<X>::t_nodes</a>] = <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a135b7952593c9b1aae38fcaf1cc1abf7">Tree<X>::t_val</a>[i];</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  }</div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">Tree<X>::t_nodes</a> - 1; i > 0; i--) {</div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#afbf8a9cb9449d5ca844f4e141a801e6a">SG<X>::s_tree</a>[i] =</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74">SG<X>::combine</a>(<a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#afbf8a9cb9449d5ca844f4e141a801e6a">SG<X>::s_tree</a>[i << 1], <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#afbf8a9cb9449d5ca844f4e141a801e6a">SG<X>::s_tree</a>[i << 1 | 1]);</div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  }</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  }</div>
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_ae9e979edd69678b85665c01e2ee97828_cgraph.svg" width="547" height="427"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="memtitle"><span class="permalink"><a href="#a4dfbf5d9df825eeb63b294c6849bdcab">◆ </a></span>query()</h2>
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template<typename X > </div>
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<td class="memname">X <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::<a class="el" href="../../dd/d1b/structquery.html">query</a> </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramname"><em>b</em> </td>
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<td></td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">inline</span></span> </td>
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<p>This function returns the sum of node values in the simple path from from node_1 to node_2. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">a</td><td>the node where the simple path starts </td></tr>
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<tr><td class="paramname">b</td><td>the node where the simple path ends (parameters are interchangeable, i.e., the function is commutative) </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>the sum of node values in the simple path from a to b </dd></dl>
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<div class="fragment"><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  {</div>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordtype">int</span> lc = <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae2b407e64aaf9878fbee7ee6efe9c7d4">Tree<X>::lca</a>(a, b);</div>
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<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  X ret = <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#aa7f93971a9f891e0bbb7023081f379d5">SG<X>::sret_init</a>;</div>
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  assert(lc != -1);</div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  ret += <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a7d5b40c076347a6aabfb37a0590f2f24">chain_query</a>(a, lc);</div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  ret += <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a7d5b40c076347a6aabfb37a0590f2f24">chain_query</a>(b, lc);</div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keywordflow">return</span> ret - <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a135b7952593c9b1aae38fcaf1cc1abf7">Tree<X>::t_val</a>[lc];</div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  }</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_a4dfbf5d9df825eeb63b294c6849bdcab_cgraph.svg" width="547" height="147"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="memtitle"><span class="permalink"><a href="#a9f1cb54ed09fde931bf3220d75ee4c57">◆ </a></span>update()</h2>
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<td class="memname">void <a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a>< X >::update </td>
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<td>(</td>
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<td class="paramtype">X </td>
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<td class="paramname"><em>val</em> </td>
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<td>)</td>
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</div><div class="memdoc">
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<p>This function updates the value at node with val. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">node</td><td>the node where the update is done </td></tr>
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<tr><td class="paramname">val</td><td>the value that is being updated </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  {</div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  X diff = val - <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a135b7952593c9b1aae38fcaf1cc1abf7">Tree<X>::t_val</a>[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>];</div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <a class="code" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a3c75bf5770790f8eba8cc92227b5400c">SG<X>::update</a>(<a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">h_label</a>[<a class="code" href="../../d5/da1/structnode.html">node</a>], diff);</div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <a class="code" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a135b7952593c9b1aae38fcaf1cc1abf7">Tree<X>::t_val</a>[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>] = val;</div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  }</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"><iframe scrolling="no" frameborder="0" src="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_a9f1cb54ed09fde931bf3220d75ee4c57_cgraph.svg" width="352" height="67"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>range_queries/<a class="el" href="../../d2/de9/heavy__light__decomposition_8cpp.html">heavy_light_decomposition.cpp</a></li>
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</ul>
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<div class="ttc" id="aresize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/resize.html">std::vector::resize</a></div><div class="ttdeci">T resize(T... args)</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a7d5b40c076347a6aabfb37a0590f2f24"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a7d5b40c076347a6aabfb37a0590f2f24">range_queries::heavy_light_decomposition::HLD::chain_query</a></div><div class="ttdeci">X chain_query(int a, int b)</div><div class="ttdoc">Utility function to break down a path query into two chain queries.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:409</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ada1494fccbc7f1f07b2f9be9f7e07ad5"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ada1494fccbc7f1f07b2f9be9f7e07ad5">range_queries::heavy_light_decomposition::Tree::t_size</a></div><div class="ttdeci">std::vector< int > t_size</div><div class="ttdoc">a vector to store the subtree size rooted at node</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:89</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_aa6c37e840355b9fb2105181c578694e8"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#aa6c37e840355b9fb2105181c578694e8">range_queries::heavy_light_decomposition::Tree::t_root</a></div><div class="ttdeci">int t_root</div><div class="ttdoc">the root of the tree</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:91</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ae2b407e64aaf9878fbee7ee6efe9c7d4"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae2b407e64aaf9878fbee7ee6efe9c7d4">range_queries::heavy_light_decomposition::Tree::lca</a></div><div class="ttdeci">int lca(int a, int b)</div><div class="ttdoc">The function returns the least common ancestor of two nodes.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:229</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ad22d760a5a33545a70e7ea5e1786c8dc"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ad22d760a5a33545a70e7ea5e1786c8dc">range_queries::heavy_light_decomposition::Tree::init</a></div><div class="ttdeci">void init()</div><div class="ttdoc">This function must be called after the tree adjacency list and node values are populated The function...</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:186</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_s_g_html_a3c75bf5770790f8eba8cc92227b5400c"><div class="ttname"><a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a3c75bf5770790f8eba8cc92227b5400c">range_queries::heavy_light_decomposition::SG::update</a></div><div class="ttdeci">void update(int p, X v)</div><div class="ttdoc">Update the value at a node.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:293</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_s_g_html_aa7f93971a9f891e0bbb7023081f379d5"><div class="ttname"><a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#aa7f93971a9f891e0bbb7023081f379d5">range_queries::heavy_light_decomposition::SG::sret_init</a></div><div class="ttdeci">X sret_init</div><div class="ttdoc">inital query return value</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:264</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_s_g_html_a41c733f5f5e262b308f7cb95c88c1e74"><div class="ttname"><a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a41c733f5f5e262b308f7cb95c88c1e74">range_queries::heavy_light_decomposition::SG::combine</a></div><div class="ttdeci">X combine(X lhs, X rhs)</div><div class="ttdoc">Function that specifies the type of operation involved when segments are combined.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:274</div></div>
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<div class="ttc" id="astructnode_html"><div class="ttname"><a href="../../d5/da1/structnode.html">node</a></div><div class="ttdef"><b>Definition:</b> avltree.cpp:13</div></div>
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<div class="ttc" id="ahash__search_8cpp_html_a8ca8dcb494104d273679e219e53d0555"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a></div><div class="ttdeci">struct list node</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a2dfbda148aad0bfaba2ebfda9ebc915a"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a2dfbda148aad0bfaba2ebfda9ebc915a">range_queries::heavy_light_decomposition::HLD::dfs_par</a></div><div class="ttdeci">void dfs_par(int u, int p=-1)</div><div class="ttdoc">Utility function to assign highest parent that can be reached though heavy chains.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:371</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a84424f180f12b514eaab57a6aa20b104"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a84424f180f12b514eaab57a6aa20b104">range_queries::heavy_light_decomposition::HLD::h_heavychlid</a></div><div class="ttdeci">std::vector< int > h_heavychlid</div><div class="ttdoc">stores the heavy child of a node</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:340</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ab1aeaefa1bd97b867c652ba916fbdb43"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab1aeaefa1bd97b867c652ba916fbdb43">range_queries::heavy_light_decomposition::Tree::t_adj</a></div><div class="ttdeci">std::vector< std::list< int > > t_adj</div><div class="ttdoc">an adjacency list to stores the tree edges</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:83</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_s_g_html_afbf8a9cb9449d5ca844f4e141a801e6a"><div class="ttname"><a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#afbf8a9cb9449d5ca844f4e141a801e6a">range_queries::heavy_light_decomposition::SG::s_tree</a></div><div class="ttdeci">std::vector< X > s_tree</div><div class="ttdoc">Everything here is private, and can only be accessed through the methods, in the derived class (HLD)</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:262</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ae4630fa70a80a1dc65a875488a67178a"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae4630fa70a80a1dc65a875488a67178a">range_queries::heavy_light_decomposition::Tree::t_nodes</a></div><div class="ttdeci">const int t_nodes</div><div class="ttdoc">number of nodes</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:84</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_af64848d6630c39d0f09ce2359cc7c4f8"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#af64848d6630c39d0f09ce2359cc7c4f8">range_queries::heavy_light_decomposition::HLD::dfs_hc</a></div><div class="ttdeci">void dfs_hc(int u, int p=-1)</div><div class="ttdoc">Utility function to assign heavy child to each node (-1 for a leaf node)</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:350</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a722cc7cf2c3e4d15583601a48b09776f"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a722cc7cf2c3e4d15583601a48b09776f">range_queries::heavy_light_decomposition::HLD::label</a></div><div class="ttdeci">int label</div><div class="ttdoc">utility member to assign labels in dfs_labels()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:338</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_a350157a5fb79f76fceae33fc84171203"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">range_queries::heavy_light_decomposition::Tree::t_par</a></div><div class="ttdeci">std::vector< std::vector< int > > t_par</div><div class="ttdoc">a matrix to store every node's 2^kth parent</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:87</div></div>
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<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_s_g_html_a1fda852e6e522707fd97f61cdb0a2591"><div class="ttname"><a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#a1fda852e6e522707fd97f61cdb0a2591">range_queries::heavy_light_decomposition::SG::query</a></div><div class="ttdeci">X query(int l, int r)</div><div class="ttdoc">Make a range query from node label l to node label r.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:305</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a0579062b384e54b611b80c6337c7f2c8"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a0579062b384e54b611b80c6337c7f2c8">range_queries::heavy_light_decomposition::HLD::dfs_labels</a></div><div class="ttdeci">void dfs_labels(int u, int p=-1)</div><div class="ttdoc">Utility function to lable the nodes so that heavy chains have a contigous lable.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:390</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_a135b7952593c9b1aae38fcaf1cc1abf7"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a135b7952593c9b1aae38fcaf1cc1abf7">range_queries::heavy_light_decomposition::Tree::t_val</a></div><div class="ttdeci">std::vector< X > t_val</div><div class="ttdoc">values of nodes</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:92</div></div>
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<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/begin.html">std::vector::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
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<div class="ttc" id="aiota_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/iota.html">std::iota</a></div><div class="ttdeci">T iota(T... args)</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_a1b336474d17eff1aa4be73d4068dc725"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#a1b336474d17eff1aa4be73d4068dc725">range_queries::heavy_light_decomposition::HLD::h_parent</a></div><div class="ttdeci">std::vector< int > h_parent</div><div class="ttdoc">stores the top of the heavy chain from a node</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:341</div></div>
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<div class="ttc" id="aassign_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/assign.html">std::vector::assign</a></div><div class="ttdeci">T assign(T... args)</div></div>
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<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/end.html">std::vector::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html_aa86a91ae0cd7898990a8170a2f2c9cda"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#aa86a91ae0cd7898990a8170a2f2c9cda">range_queries::heavy_light_decomposition::HLD::h_label</a></div><div class="ttdeci">std::vector< int > h_label</div><div class="ttdoc">stores the label of a node</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:339</div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_a0efd0b9c564092f443ca97030d866ef1"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">range_queries::heavy_light_decomposition::Tree::t_depth</a></div><div class="ttdeci">std::vector< int > t_depth</div><div class="ttdoc">a vector to store the depth of a node,</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:88</div></div>
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<li class="navelem"><a class="el" href="../../dd/d69/namespacerange__queries.html">range_queries</a></li><li class="navelem"><b>heavy_light_decomposition</b></li><li class="navelem"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">HLD</a></li>
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