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<a href="../../d8/dab/sparse__table_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &lt;array&gt;</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/d3c/namespacedata__structures.html">data_structures</a> {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d9/d55/namespacesparse__table.html">sparse_table</a> {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d"> 48</a></span><span class="keyword">constexpr</span> uint32_t <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 12345; </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="../../d8/dab/sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e"> 49</a></span><span class="keyword">constexpr</span> uint8_t <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">M</a> = 14; </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="foldopen" id="foldopen00051" data-start="{" data-end="};">
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html"> 51</a></span><span class="keyword">struct </span><a class="code hl_struct" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html">Sparse_table</a> {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635"> 52</a></span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">n</a> = 0; </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e"> 57</a></span> std::array&lt;int64_t, N&gt; <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a> = {}; </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> std::array&lt;std::array&lt;int64_t, N&gt;, <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">M</a>&gt;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81"> 59</a></span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>{}; </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3"> 60</a></span> std::array&lt;int64_t, N&gt; <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a> = {}; </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">void</span> buildST() {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[0] = -1;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">n</a>; ++i) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[0][i] = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(i);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[i + 1] = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[i] + !(i &amp; (i + 1)); </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 1; <span class="keyword">static_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(1 &lt;&lt; j) &lt;= <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">n</a>; ++j) {</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; <span class="keyword">static_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(i + (1 &lt;&lt; j)) &lt;= <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">n</a>; ++i) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> int64_t x = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[j - 1][i]; </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> int64_t y =</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[j - 1]</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> [i + (1 &lt;&lt; (j - 1))]; </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[j][i] =</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> (<a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[x] &lt;= <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[y] ? x : y); </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span></div>
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039"> 110</a></span> int64_t <a class="code hl_function" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039">query</a>(int64_t l, int64_t r) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> int64_t g = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">LOG</a>[r - l + 1]; </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> int64_t x = <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[g][l]; </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> int64_t y =</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">ST</a>[g][r - (1 &lt;&lt; g) + 1]; </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">return</span> (<a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[x] &lt;= <a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>[y] ? x : y); </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span>};</div>
</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span>} <span class="comment">// namespace sparse_table</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span>} <span class="comment">// namespace data_structures</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span></div>
<div class="foldopen" id="foldopen00129" data-start="{" data-end="}">
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"><a class="line" href="../../d8/dab/sparse__table_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 129</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/dab/sparse__table_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">/* We take an array as an input on which we need to perform the ranged</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="comment"> * minimum queries[RMQ](https://en.wikipedia.org/wiki/Range_minimum_query).</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="comment"> */</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> std::array&lt;int64_t, 10&gt; testcase = {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> 1, 2, 3, 4, 5,</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> 6, 7, 8, 9, 10}; </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordtype">size_t</span> testcase_size =</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">sizeof</span>(testcase) / <span class="keyword">sizeof</span>(testcase[0]); </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_struct" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html">data_structures::sparse_table::Sparse_table</a></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> st{}; </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> std::copy(std::begin(testcase), std::end(testcase),</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> std::begin(st.<a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">A</a>)); </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> st.<a class="code hl_variable" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">n</a> = testcase_size; </div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> st.buildST(); </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// pass queries of the form: [l,r]</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> assert(st.<a class="code hl_function" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039">query</a>(1, 9) == 1); </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> assert(st.<a class="code hl_function" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039">query</a>(2, 6) == 2); </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> assert(st.<a class="code hl_function" href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039">query</a>(3, 8) == 3); </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Self-test implementations passed!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span>}</div>
</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span></div>
<div class="foldopen" id="foldopen00160" data-start="{" data-end="}">
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"><a class="line" href="../../d8/dab/sparse__table_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 160</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d8/dab/sparse__table_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <a class="code hl_function" href="../../d8/dab/sparse__table_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span>}</div>
</div>
<div class="ttc" id="anamespacedata__structures_html"><div class="ttname"><a href="../../d5/d3c/namespacedata__structures.html">data_structures</a></div><div class="ttdoc">for IO operations</div></div>
<div class="ttc" id="anamespacesparse__table_html"><div class="ttname"><a href="../../d9/d55/namespacesparse__table.html">sparse_table</a></div><div class="ttdoc">Functions for Implementation of Sparse Table</div></div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> <a href="#l00048">sparse_table.cpp:48</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00129">sparse_table.cpp:129</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00160">sparse_table.cpp:160</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_af7db62f21983565c64d5d42d2a49888e"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">data_structures::sparse_table::M</a></div><div class="ttdeci">constexpr uint8_t M</div><div class="ttdoc">ceil(log2(N)).</div><div class="ttdef"><b>Definition</b> <a href="#l00049">sparse_table.cpp:49</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html">data_structures::sparse_table::Sparse_table</a></div><div class="ttdef"><b>Definition</b> <a href="#l00051">sparse_table.cpp:51</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_a0c8cbe7239232863f104793c08273039"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039">data_structures::sparse_table::Sparse_table::query</a></div><div class="ttdeci">int64_t query(int64_t l, int64_t r)</div><div class="ttdoc">Queries the sparse table for the value of the interval [l, r] (i.e. from l to r inclusive).</div><div class="ttdef"><b>Definition</b> <a href="#l00110">sparse_table.cpp:110</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_a6cf72f93b1551f0d943c585b4f173be3"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3">data_structures::sparse_table::Sparse_table::LOG</a></div><div class="ttdeci">std::array&lt; int64_t, N &gt; LOG</div><div class="ttdoc">where floor(log2(i)) are precomputed.</div><div class="ttdef"><b>Definition</b> <a href="#l00060">sparse_table.cpp:60</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_ab78620742305a35ff2f8d61179f47d3e"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e">data_structures::sparse_table::Sparse_table::A</a></div><div class="ttdeci">std::array&lt; int64_t, N &gt; A</div><div class="ttdoc">input array to perform RMQ.</div><div class="ttdef"><b>Definition</b> <a href="#l00057">sparse_table.cpp:57</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_ad36b9a20fed47b068e407008c04e9f81"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81">data_structures::sparse_table::Sparse_table::ST</a></div><div class="ttdeci">std::array&lt; std::array&lt; int64_t, N &gt;, M &gt; ST</div><div class="ttdoc">the sparse table storing min() values for given interval.</div><div class="ttdef"><b>Definition</b> <a href="#l00059">sparse_table.cpp:59</a></div></div>
<div class="ttc" id="astructdata__structures_1_1sparse__table_1_1_sparse__table_html_ad71ecd43d0af1127df5f4006258f9635"><div class="ttname"><a href="../../da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635">data_structures::sparse_table::Sparse_table::n</a></div><div class="ttdeci">size_t n</div><div class="ttdoc">size of input array.</div><div class="ttdef"><b>Definition</b> <a href="#l00052">sparse_table.cpp:52</a></div></div>
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