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2023-07-21 18:21:29 +00:00
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@@ -208,8 +208,9 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();
<tr id="row_15_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_15_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">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 </td></tr>
<tr id="row_15_0_2_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">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 </td></tr>
<tr id="row_15_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_15_1_" class="arrow" onclick="toggleFolder('15_1_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_15_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_15_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d0d/classrange__queries_1_1fenwick__tree.html" target="_self">fenwick_tree</a></td><td class="desc">The class that initializes the Fenwick Tree </td></tr>
<tr id="row_15_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_15_2_" class="arrow" onclick="toggleFolder('15_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_15_2_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_16_" class="arrow" onclick="toggleFolder('16_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_16_0_" class="odd" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_16_0_" class="arrow" onclick="toggleFolder('16_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>sublist_search</b></td><td class="desc"></td></tr>
<tr id="row_16_0_0_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" target="_self">Node</a></td><td class="desc">A <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> structure representing a single link <a class="el" href="da/d61/structsearch_1_1sublist__search_1_1_node.html" title="A Node structure representing a single link Node in a linked list.">Node</a> in a linked list </td></tr>
@@ -239,35 +240,34 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();
<tr id="row_29_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/df6/class_easter_year_month_day.html" target="_self">EasterYearMonthDay</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_30_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d77/class_edge.html" target="_self">Edge</a></td><td class="desc"></td></tr>
<tr id="row_31_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/dca/class_f_c_f_s.html" target="_self">FCFS</a></td><td class="desc">Class which implements the <a class="el" href="dd/dca/class_f_c_f_s.html" title="Class which implements the FCFS scheduling algorithm.">FCFS</a> scheduling algorithm </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d91/class_fenwick_tree.html" target="_self">FenwickTree</a></td><td class="desc"></td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d9a/class_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_34_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d1c/classhash__chain.html" target="_self">hash_chain</a></td><td class="desc">Chain class with a given modulus </td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d66/struct_item.html" target="_self">Item</a></td><td class="desc"></td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d82/classlarge__number.html" target="_self">large_number</a></td><td class="desc"></td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/dff/structlinkedlist.html" target="_self">linkedlist</a></td><td class="desc"></td></tr>
<tr id="row_38_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d10/structlist.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/da4/struct_list_node.html" target="_self">ListNode</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d05/class_min_heap.html" target="_self">MinHeap</a></td><td class="desc"></td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d29/struct_min_heap_node.html" target="_self">MinHeapNode</a></td><td class="desc"></td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d77/structmst.html" target="_self">mst</a></td><td class="desc"></td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d8b/struct_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/da1/structnode.html" target="_self">node</a></td><td class="desc"></td></tr>
<tr id="row_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dc8/struct_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d1b/structquery.html" target="_self">query</a></td><td class="desc"></td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/db5/struct_queue.html" target="_self">Queue</a></td><td class="desc"></td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/da9/classqueue.html" target="_self">queue</a></td><td class="desc"></td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d72/class_r_btree.html" target="_self">RBtree</a></td><td class="desc"></td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/db4/struct_segment_intersection.html" target="_self">SegmentIntersection</a></td><td class="desc"></td></tr>
<tr id="row_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d4f/class_solution.html" target="_self">Solution</a></td><td class="desc"></td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/dc2/classstack.html" target="_self">stack</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a> </td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dc4/classstack__linked_list.html" target="_self">stack_linkedList</a></td><td class="desc"></td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d86/struct_test_case.html" target="_self">TestCase</a></td><td class="desc">Single example inputs and expected output of the function <a class="el" href="da/d0d/longest__common__string_8cpp.html#aa38b6b17bc5d46ed88acdd8414e18fa5" title="for std::vector">longest_common_string_length</a> </td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d58/class_test_cases.html" target="_self">TestCases</a></td><td class="desc">Class encapsulating the necessary test cases </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d2c/structtower.html" target="_self">tower</a></td><td class="desc"></td></tr>
<tr id="row_57_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_57_" class="arrow" onclick="toggleFolder('57_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d2f/class_trie.html" target="_self">Trie</a></td><td class="desc"></td></tr>
<tr id="row_57_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d48/struct_trie_1_1_trie_node.html" target="_self">TrieNode</a></td><td class="desc"></td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d9a/classuint128__t.html" target="_self">uint128_t</a></td><td class="desc">Class for 128-bit unsigned integer </td></tr>
<tr id="row_59_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d83/classuint256__t.html" target="_self">uint256_t</a></td><td class="desc">Class for 256-bit unsigned integer </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d9a/class_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d1c/classhash__chain.html" target="_self">hash_chain</a></td><td class="desc">Chain class with a given modulus </td></tr>
<tr id="row_34_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d66/struct_item.html" target="_self">Item</a></td><td class="desc"></td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d82/classlarge__number.html" target="_self">large_number</a></td><td class="desc"></td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/dff/structlinkedlist.html" target="_self">linkedlist</a></td><td class="desc"></td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d10/structlist.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_38_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/da4/struct_list_node.html" target="_self">ListNode</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d05/class_min_heap.html" target="_self">MinHeap</a></td><td class="desc"></td></tr>
<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d29/struct_min_heap_node.html" target="_self">MinHeapNode</a></td><td class="desc"></td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d77/structmst.html" target="_self">mst</a></td><td class="desc"></td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d8b/struct_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/da1/structnode.html" target="_self">node</a></td><td class="desc"></td></tr>
<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dc8/struct_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d1b/structquery.html" target="_self">query</a></td><td class="desc"></td></tr>
<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/db5/struct_queue.html" target="_self">Queue</a></td><td class="desc"></td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/da9/classqueue.html" target="_self">queue</a></td><td class="desc"></td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d72/class_r_btree.html" target="_self">RBtree</a></td><td class="desc"></td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/db4/struct_segment_intersection.html" target="_self">SegmentIntersection</a></td><td class="desc"></td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d4f/class_solution.html" target="_self">Solution</a></td><td class="desc"></td></tr>
<tr id="row_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/dc2/classstack.html" target="_self">stack</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a> </td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dc4/classstack__linked_list.html" target="_self">stack_linkedList</a></td><td class="desc"></td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d86/struct_test_case.html" target="_self">TestCase</a></td><td class="desc">Single example inputs and expected output of the function <a class="el" href="da/d0d/longest__common__string_8cpp.html#aa38b6b17bc5d46ed88acdd8414e18fa5" title="for std::vector">longest_common_string_length</a> </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d58/class_test_cases.html" target="_self">TestCases</a></td><td class="desc">Class encapsulating the necessary test cases </td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d2c/structtower.html" target="_self">tower</a></td><td class="desc"></td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_56_" class="arrow" onclick="toggleFolder('56_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d2f/class_trie.html" target="_self">Trie</a></td><td class="desc"></td></tr>
<tr id="row_56_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d48/struct_trie_1_1_trie_node.html" target="_self">TrieNode</a></td><td class="desc"></td></tr>
<tr id="row_57_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d9a/classuint128__t.html" target="_self">uint128_t</a></td><td class="desc">Class for 128-bit unsigned integer </td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d83/classuint256__t.html" target="_self">uint256_t</a></td><td class="desc">Class for 256-bit unsigned integer </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

2
annotated_dup.js
View File

@@ -148,6 +148,7 @@ var annotated_dup =
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d0/d58/classgraph_1_1_rooted_tree.html
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29
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<p>Fenwick tree.
<p><a href="https://en.wikipedia.org/wiki/Fenwick_tree" target="_blank">Fenwick Tree</a> algorithm implementation
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
@@ -117,17 +118,32 @@ Include dependency graph for fenwick_tree.cpp:</div>
</div><table class="memberdecls">
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html">range_queries::fenwick_tree</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The class that initializes the Fenwick Tree. <a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#details">More...</a><br /></td></tr>
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Namespaces</h2></td></tr>
<tr class="memitem:dd/d69/namespacerange__queries"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d69/namespacerange__queries.html">range_queries</a></td></tr>
<tr class="memdesc:dd/d69/namespacerange__queries"><td class="mdescLeft">&#160;</td><td class="mdescRight">Algorithms and Data Structures that support range queries and updates. <br /></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
<tr class="separator:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Fenwick tree. </p>
<p>A Fenwick tree or binary indexed tree is a data structure that can efficiently update elements and calculate prefix sums in a table of numbers. </p>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Fenwick_tree" target="_blank">Fenwick Tree</a> algorithm implementation </p>
<p><em>From Wikipedia, the free encyclopedia.</em></p>
<p>A Fenwick tree or binary indexed tree (BIT) is a clever implementation of a datastructure called bionomal tree. It can update values and solve range queries with operations that is; commulative, associative and has an inverse for this type of element. It can also solve immutable range queries (min/max), when operations only are associative over this type of element. Some of these restrictions can be removed, by storing redunant information; like in max/min range queries.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/mateusz-grzegorzek" target="_blank">Mateusz Grzegorzek</a> </dd>
<dd>
<a href="https://github.com/Panquesito7" target="_blank">David Leal</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<p>Main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 69</span> {</div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordtype">int</span> n = 5;</div>
<div class="line"><span class="lineno"> 71</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr = {1, 2, 3, 4, 5};</div>
<div class="line"><span class="lineno"> 72</span> <a class="code hl_class" href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a> fenwick_tree(arr);</div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> assert(fenwick_tree.sum_range(0, 0) == 1);</div>
<div class="line"><span class="lineno"> 75</span> assert(fenwick_tree.sum_range(0, 1) == 3);</div>
<div class="line"><span class="lineno"> 76</span> assert(fenwick_tree.sum_range(0, 2) == 6);</div>
<div class="line"><span class="lineno"> 77</span> fenwick_tree.update(0, 6);</div>
<div class="line"><span class="lineno"> 78</span> assert(fenwick_tree.sum_range(0, 0) == 6);</div>
<div class="line"><span class="lineno"> 79</span> assert(fenwick_tree.sum_range(0, 1) == 8);</div>
<div class="line"><span class="lineno"> 80</span> assert(fenwick_tree.sum_range(0, 2) == 11);</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 82</span>}</div>
<div class="ttc" id="aclass_fenwick_tree_html"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:17</div></div>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 132</span> {</div>
<div class="line"><span class="lineno"> 133</span> <a class="code hl_function" href="../../d6/d2e/fenwick__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 134</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 135</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
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<td class="memname">static void tests </td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 114</span> {</div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr = {1, 2, 3, 4, 5};</div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_class" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html">range_queries::fenwick_tree</a> fenwick_tree(arr);</div>
<div class="line"><span class="lineno"> 117</span> </div>
<div class="line"><span class="lineno"> 118</span> assert(fenwick_tree.sum_range(0, 0) == 1);</div>
<div class="line"><span class="lineno"> 119</span> assert(fenwick_tree.sum_range(0, 1) == 3);</div>
<div class="line"><span class="lineno"> 120</span> assert(fenwick_tree.sum_range(0, 2) == 6);</div>
<div class="line"><span class="lineno"> 121</span> assert(fenwick_tree.sum_range(0, 3) == 10);</div>
<div class="line"><span class="lineno"> 122</span> assert(fenwick_tree.sum_range(0, 4) == 15);</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> fenwick_tree.update(0, 6);</div>
<div class="line"><span class="lineno"> 125</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 126</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html">range_queries::fenwick_tree</a></div><div class="ttdoc">The class that initializes the Fenwick Tree.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:32</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The class that initializes the Fenwick Tree. <a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d28/classrange__queries_1_1per_seg_tree.html">perSegTree</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Range query here is range sum, but the code can be modified to make different queries like range max or min. <a href="../../d8/d28/classrange__queries_1_1per_seg_tree.html#details">More...</a><br /></td></tr>
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<tr class="memitem:aaddab1f03d4941212a82cc647b1adb17"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#aaddab1f03d4941212a82cc647b1adb17">FenwickTree</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;arr)</td></tr>
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<tr class="memitem:a70f8c261393ca09ec1ad716ac806ead6"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a70f8c261393ca09ec1ad716ac806ead6">FenwickTree</a> (int x)</td></tr>
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<tr class="memitem:a2e9ea4fcbe0786487f4535c1cfc7aa00"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a> (int id, int val)</td></tr>
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<tr class="memitem:ade1d6a3d49af9d9df33e2fb26cab1699"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a> (int id)</td></tr>
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<tr class="memitem:a115ff5c548b429b737ea09f75817d1f9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#a115ff5c548b429b737ea09f75817d1f9">sum_range</a> (int l, int r)</td></tr>
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<tr class="memitem:aaae15ea71455315e257baa11017cec10"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a> (int x)</td></tr>
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Private Attributes</h2></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>bit</b></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>n --&gt; No. of elements present in input array. bit[0..n] --&gt; Array that represents Binary Indexed Tree. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aaddab1f03d4941212a82cc647b1adb17">&#9670;&#160;</a></span>FenwickTree() <span class="overload">[1/2]</span></h2>
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<td class="memname">FenwickTree::FenwickTree </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;&#160;</td>
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<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>--&gt; Input array for which prefix sum is evaluated. </td></tr>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
<div class="line"><span class="lineno"> 29</span> n = arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 30</span> bit.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><span class="lineno"> 32</span> <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">update</a>(i, arr[i]);</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</span> }</div>
<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>
<div class="ttc" id="aclass_fenwick_tree_html_a2e9ea4fcbe0786487f4535c1cfc7aa00"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">FenwickTree::update</a></div><div class="ttdeci">void update(int id, int val)</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:45</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<td class="memname">FenwickTree::FenwickTree </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Constructor </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>--&gt; Size of array that represents Binary Indexed Tree. </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
<div class="line"><span class="lineno"> 40</span> n = x;</div>
<div class="line"><span class="lineno"> 41</span> bit.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n + 1, 0);</div>
<div class="line"><span class="lineno"> 42</span> }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="aaae15ea71455315e257baa11017cec10" name="aaae15ea71455315e257baa11017cec10"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaae15ea71455315e257baa11017cec10">&#9670;&#160;</a></span>offset()</h2>
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<td class="memname">int FenwickTree::offset </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Returns the highest power of two which is not more than x </p>
<div class="fragment"><div class="line"><span class="lineno"> 22</span>{ <span class="keywordflow">return</span> (x &amp; (-x)); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ade1d6a3d49af9d9df33e2fb26cab1699">&#9670;&#160;</a></span>sum()</h2>
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<td class="memname">int FenwickTree::sum </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>id</em></td><td>)</td>
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<p>Get prefix sum upto id </p>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> res = 0;</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &gt; 0) {</div>
<div class="line"><span class="lineno"> 58</span> res += bit[id];</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">id</span> -= <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 60</span> }</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="ttc" id="aclass_fenwick_tree_html_aaae15ea71455315e257baa11017cec10"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">FenwickTree::offset</a></div><div class="ttdeci">int offset(int x)</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:22</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a115ff5c548b429b737ea09f75817d1f9">&#9670;&#160;</a></span>sum_range()</h2>
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<td class="memname">int FenwickTree::sum_range </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
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<td>)</td>
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<p>Returns the prefix sum in range from l to r </p>
<div class="fragment"><div class="line"><span class="lineno"> 65</span>{ <span class="keywordflow">return</span> <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a>(r) - <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">sum</a>(l - 1); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e9ea4fcbe0786487f4535c1cfc7aa00">&#9670;&#160;</a></span>update()</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">void FenwickTree::update </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
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<tr>
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<p>Add val at id </p>
<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &lt;= n) {</div>
<div class="line"><span class="lineno"> 48</span> bit[id] += val;</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordtype">id</span> += <a class="code hl_function" href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</span> }</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>range_queries/<a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html">fenwick_tree.cpp</a></li>
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[ "sum", "dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699", null ],
[ "sum_range", "dd/d91/class_fenwick_tree.html#a115ff5c548b429b737ea09f75817d1f9", null ],
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<tr class="memitem:a19dea5e88bbd7683a719030623315de9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a19dea5e88bbd7683a719030623315de9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a19dea5e88bbd7683a719030623315de9">update</a> (T id, T val)</td></tr>
<tr class="memdesc:a19dea5e88bbd7683a719030623315de9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the value of an element in original array and accordingly updates the values in BIT array. <br /></td></tr>
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<tr class="memitem:a1fa0559d987fde0044761b17b35f5abd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a1fa0559d987fde0044761b17b35f5abd"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a1fa0559d987fde0044761b17b35f5abd">sum</a> (T id)</td></tr>
<tr class="memdesc:a1fa0559d987fde0044761b17b35f5abd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sum of elements in range from 0 to ID. <br /></td></tr>
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<tr class="memitem:a0914a4b1401a7c427de91c92885724fe"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a0914a4b1401a7c427de91c92885724fe">sum_range</a> (int l, int r)</td></tr>
<tr class="memdesc:a0914a4b1401a7c427de91c92885724fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the prefix sum in range from L to R. <br /></td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:ab492ebf07cab0e3c32d277ad986de801"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#ab492ebf07cab0e3c32d277ad986de801">offset</a> (int x)</td></tr>
<tr class="memdesc:ab492ebf07cab0e3c32d277ad986de801"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the highest power of two which is not more than <code>x</code>. <br /></td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:af9f543aa5976b8cc5422490b3d6250c6"><td class="memItemLeft" align="right" valign="top"><a id="af9f543aa5976b8cc5422490b3d6250c6" name="af9f543aa5976b8cc5422490b3d6250c6"></a>
size_t&#160;</td><td class="memItemRight" valign="bottom"><b>n</b> = 0</td></tr>
<tr class="memdesc:af9f543aa5976b8cc5422490b3d6250c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">No. of elements present in input array. <br /></td></tr>
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<tr class="memitem:af7b7a8c1c5724ed8683d7e28bef526e6"><td class="memItemLeft" align="right" valign="top"><a id="af7b7a8c1c5724ed8683d7e28bef526e6" name="af7b7a8c1c5724ed8683d7e28bef526e6"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>bit</b> {}</td></tr>
<tr class="memdesc:af7b7a8c1c5724ed8683d7e28bef526e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Array that represents Binary Indexed Tree. <br /></td></tr>
<tr class="separator:af7b7a8c1c5724ed8683d7e28bef526e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The class that initializes the Fenwick Tree. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a5ea37183524553bbf2234a36a44a4b9a" name="a5ea37183524553bbf2234a36a44a4b9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ea37183524553bbf2234a36a44a4b9a">&#9670;&#160;</a></span>fenwick_tree() <span class="overload">[1/2]</span></h2>
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<td class="memname">range_queries::fenwick_tree::fenwick_tree </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;&#160;</td>
<td class="paramname"><em>arr</em></td><td>)</td>
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<p>Class Constructor. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>the type of the array </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>Input array for which prefix sum is evaluated. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 50</span> : <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) {</div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a> + 1, 0);</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a>; ++i) {</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_function" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a19dea5e88bbd7683a719030623315de9">update</a>(i, arr[i]);</div>
<div class="line"><span class="lineno"> 54</span> }</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<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>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_a19dea5e88bbd7683a719030623315de9"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a19dea5e88bbd7683a719030623315de9">range_queries::fenwick_tree::update</a></div><div class="ttdeci">void update(T id, T val)</div><div class="ttdoc">Updates the value of an element in original array and accordingly updates the values in BIT array.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:75</div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_af7b7a8c1c5724ed8683d7e28bef526e6"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af7b7a8c1c5724ed8683d7e28bef526e6">range_queries::fenwick_tree::bit</a></div><div class="ttdeci">std::vector&lt; int &gt; bit</div><div class="ttdoc">Array that represents Binary Indexed Tree.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:34</div></div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_af9f543aa5976b8cc5422490b3d6250c6"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">range_queries::fenwick_tree::n</a></div><div class="ttdeci">size_t n</div><div class="ttdoc">No. of elements present in input array.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:33</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aef7ba885b91af093e9e514358fa0f36c">&#9670;&#160;</a></span>fenwick_tree() <span class="overload">[2/2]</span></h2>
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<td class="memname">range_queries::fenwick_tree::fenwick_tree </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Class Constructor. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>the type of the variable </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Size of array that represents Binary Indexed Tree. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 64</span>: <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a>(x) { <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(<a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a> + 1, 0); }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ab492ebf07cab0e3c32d277ad986de801">&#9670;&#160;</a></span>offset()</h2>
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<td class="memname">int range_queries::fenwick_tree::offset </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
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<p>Returns the highest power of two which is not more than <code>x</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>Index of element in original array. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Offset of index. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 41</span>{ <span class="keywordflow">return</span> (x &amp; (-x)); }</div>
</div><!-- fragment -->
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<h2 class="memtitle"><span class="permalink"><a href="#a1fa0559d987fde0044761b17b35f5abd">&#9670;&#160;</a></span>sum()</h2>
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<td class="memname">int range_queries::fenwick_tree::sum </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>id</em></td><td>)</td>
<td></td>
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<p>Returns the sum of elements in range from 0 to ID. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>the type of the variables </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">id</td><td>Index in original array up to which sum is evaluated. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Sum of elements in range from 0 to id. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 90</span> {</div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 92</span> T res = 0;</div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &gt; 0) {</div>
<div class="line"><span class="lineno"> 94</span> res += <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>[id];</div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordtype">id</span> -= <a class="code hl_function" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#ab492ebf07cab0e3c32d277ad986de801">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 96</span> }</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_ab492ebf07cab0e3c32d277ad986de801"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#ab492ebf07cab0e3c32d277ad986de801">range_queries::fenwick_tree::offset</a></div><div class="ttdeci">int offset(int x)</div><div class="ttdoc">Returns the highest power of two which is not more than x.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:41</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0914a4b1401a7c427de91c92885724fe">&#9670;&#160;</a></span>sum_range()</h2>
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<td class="memname">int range_queries::fenwick_tree::sum_range </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Returns the prefix sum in range from L to R. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">l</td><td>Left index of range. </td></tr>
<tr><td class="paramname">r</td><td>Right index of range. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Sum of elements in range from L to R. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 106</span>{ <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a1fa0559d987fde0044761b17b35f5abd">sum</a>(r) - <a class="code hl_function" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a1fa0559d987fde0044761b17b35f5abd">sum</a>(l - 1); }</div>
<div class="ttc" id="aclassrange__queries_1_1fenwick__tree_html_a1fa0559d987fde0044761b17b35f5abd"><div class="ttname"><a href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#a1fa0559d987fde0044761b17b35f5abd">range_queries::fenwick_tree::sum</a></div><div class="ttdeci">int sum(T id)</div><div class="ttdoc">Returns the sum of elements in range from 0 to ID.</div><div class="ttdef"><b>Definition</b> fenwick_tree.cpp:90</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a19dea5e88bbd7683a719030623315de9">&#9670;&#160;</a></span>update()</h2>
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<td class="memname">void range_queries::fenwick_tree::update </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>val</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<p>Updates the value of an element in original array and accordingly updates the values in BIT array. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordtype">id</span>++;</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">while</span> (<span class="keywordtype">id</span> &lt;= <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af9f543aa5976b8cc5422490b3d6250c6">n</a>) {</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_variable" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#af7b7a8c1c5724ed8683d7e28bef526e6">bit</a>[id] += val;</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordtype">id</span> += <a class="code hl_function" href="../../de/d0d/classrange__queries_1_1fenwick__tree.html#ab492ebf07cab0e3c32d277ad986de801">offset</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><span class="lineno"> 80</span> }</div>
<div class="line"><span class="lineno"> 81</span> }</div>
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Here is the call graph for this function:</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>range_queries/<a class="el" href="../../d6/d2e/fenwick__tree_8cpp.html">fenwick_tree.cpp</a></li>
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