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<a href="../../d0/dd2/treap_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="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;array&gt;</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/d3c/namespacedata__structures.html">data_structures</a> {</div>
<div class="foldopen" id="foldopen00035" data-start="{" data-end="}">
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="../../dd/d2e/namespacedata__structures_1_1treap.html"> 35</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d2e/namespacedata__structures_1_1treap.html">treap</a> {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="../../dd/d2e/namespacedata__structures_1_1treap.html#ad939ec178d0069aeea14b7d6d7d12099"> 36</a></span><span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../dd/d2e/namespacedata__structures_1_1treap.html#ad939ec178d0069aeea14b7d6d7d12099">maxNode</a> = 1e5 + 5; </div>
<div class="foldopen" id="foldopen00040" data-start="{" data-end="};">
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html"> 40</a></span><span class="keyword">struct </span><a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5d200493aeaa02a269f6b6deda39a683">Treap</a> {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c"> 41</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a> = 0; </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a1ab082fe0aa95a238bbbc68ab6a72425"> 42</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a1ab082fe0aa95a238bbbc68ab6a72425">treapCnt</a> = 0; </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04"> 43</a></span> std::array&lt;int, maxNode&gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a> = {}; </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723"> 44</a></span> std::array&lt;int, maxNode&gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a> = {}; </div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="};">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f"> 45</a></span> std::array&lt;std::array&lt;int, 2&gt;, <a class="code hl_variable" href="../../dd/d2e/namespacedata__structures_1_1treap.html#ad939ec178d0069aeea14b7d6d7d12099">maxNode</a>&gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a> = {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> {}}; </div>
</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="foldopen" id="foldopen00049" data-start="{" data-end="};">
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919"> 49</a></span> std::array&lt;int, maxNode&gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a> =</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> {}; </div>
</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c"> 51</a></span> std::array&lt;int, maxNode&gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a> = {}; </div>
<div class="foldopen" id="foldopen00055" data-start="{" data-end="}">
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5d200493aeaa02a269f6b6deda39a683"> 55</a></span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5d200493aeaa02a269f6b6deda39a683">Treap</a>() : <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a1ab082fe0aa95a238bbbc68ab6a72425">treapCnt</a>(1) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[0] = INT32_MAX;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[0] = 0;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span></div>
<div class="foldopen" id="foldopen00063" data-start="{" data-end="}">
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7"> 63</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">update</a>(<span class="keywordtype">int</span> x) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[x] = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]] + <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x] + <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1]];</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span></div>
<div class="foldopen" id="foldopen00071" data-start="{" data-end="}">
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a75a48584a6560de20484fbba6229fd29"> 71</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a75a48584a6560de20484fbba6229fd29">rotate</a>(<span class="keywordtype">int</span> &amp;x, <span class="keywordtype">int</span> t) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">int</span> y = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][t];</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][t] = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[y][1 - t];</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[y][1 - t] = x;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// The rotation will only change itself and its son nodes</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">update</a>(x);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">update</a>(y);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> x = y;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span></div>
<div class="foldopen" id="foldopen00085" data-start="{" data-end="}">
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a6a023a4f0c42fb8ed5b3368fba1a5f2c"> 85</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a6a023a4f0c42fb8ed5b3368fba1a5f2c">_insert</a>(<span class="keywordtype">int</span> &amp;x, <span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (x) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] == k) {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x]++;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> } <span class="comment">// If the node already exists, the number of copies is ++</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordtype">int</span> t = (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] &lt; k); <span class="comment">// Insert according to BST properties</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a6a023a4f0c42fb8ed5b3368fba1a5f2c">_insert</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][t], k);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// After insertion, the heap properties are retained by rotation</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][t]] &lt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[x]) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a75a48584a6560de20484fbba6229fd29">rotate</a>(x, t);</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> }</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> } <span class="keywordflow">else</span> { <span class="comment">// Create a new node</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a1ab082fe0aa95a238bbbc68ab6a72425">treapCnt</a>++;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] = k;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x] = 1;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[x] = rand(); <span class="comment">// Random priority</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0] = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1] = 0;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">update</a>(x);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span></div>
<div class="foldopen" id="foldopen00112" data-start="{" data-end="}">
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887"> 112</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887">_erase</a>(<span class="keywordtype">int</span> &amp;x, <span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] == k) {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x] &gt; 1) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x]--;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> } <span class="comment">// If the node has more than one copy, the number of copies --</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0] == 0 &amp;&amp; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1] == 0) {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> x = 0;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> } <span class="comment">// If there are no children, delete and return</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">// Otherwise, we need to rotate the sons and delete them</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// recursively</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordtype">int</span> t = (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]] &gt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">priority</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1]]);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a75a48584a6560de20484fbba6229fd29">rotate</a>(x, t);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887">_erase</a>(x, k);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> } <span class="keywordflow">else</span> { <span class="comment">// Find the target value based on BST properties</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887">_erase</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] &lt; k], k);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">update</a>(x);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span></div>
<div class="foldopen" id="foldopen00139" data-start="{" data-end="}">
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2"> 139</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2">_get_k_th</a>(<span class="keywordtype">int</span> &amp;x, <span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> (k &lt;= <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]]) {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2">_get_k_th</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0], k);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> k -= <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]] + <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x];</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">if</span> (k &lt;= 0) {</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x];</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2">_get_k_th</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1], k);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> }</div>
</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span></div>
<div class="foldopen" id="foldopen00155" data-start="{" data-end="}">
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec"> 155</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec">_get_rank</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span> (!x) {</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">if</span> (k == <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x]) {</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]] + 1;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (k &lt; <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x]) {</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec">_get_rank</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0], k);</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">size</a>[<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0]] + <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">cnt</a>[x] + <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec">_get_rank</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1], k);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> }</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span></div>
<div class="foldopen" id="foldopen00172" data-start="{" data-end="}">
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126"> 172</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(<span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordtype">int</span> x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, pre = -1;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">while</span> (x) {</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] &lt; k) {</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> pre = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x], x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1];</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0];</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> }</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">return</span> pre;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> }</div>
</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span></div>
<div class="foldopen" id="foldopen00188" data-start="{" data-end="}">
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4"> 188</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(<span class="keywordtype">int</span> k) {</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordtype">int</span> x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, next = -1;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordflow">while</span> (x) {</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x] &gt; k) {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> next = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">key</a>[x], x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][0];</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> x = <a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">childs</a>[x][1];</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> }</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> }</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">return</span> next;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> }</div>
</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f"> 203</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(<span class="keywordtype">int</span> k) { <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a6a023a4f0c42fb8ed5b3368fba1a5f2c">_insert</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, k); }</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469"> 208</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(<span class="keywordtype">int</span> k) { <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887">_erase</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, k); }</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69"> 214</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(<span class="keywordtype">int</span> k) { <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2">_get_k_th</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, k); }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039"> 220</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(<span class="keywordtype">int</span> k) { <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec">_get_rank</a>(<a class="code hl_variable" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">root</a>, k); }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span>};</div>
</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span>} <span class="comment">// namespace treap</span></div>
</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span>} <span class="comment">// namespace data_structures</span></div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span></div>
<div class="foldopen" id="foldopen00229" data-start="{" data-end="}">
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="../../d0/dd2/treap_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 229</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d0/dd2/treap_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <a class="code hl_struct" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a> mTreap; </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(1);</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(2);</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(3);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(2) == 2);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(4);</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(5);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(6);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(4) == 5);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(7);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(7) == 6);</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(4);</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(4) == 5);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(5) == 4);</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(10);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(10) == 7);</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(10) == 7);</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span>}</div>
</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span></div>
<div class="foldopen" id="foldopen00255" data-start="{" data-end="}">
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"><a class="line" href="../../d0/dd2/treap_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 255</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d0/dd2/treap_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <a class="code hl_function" href="../../d0/dd2/treap_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span>}</div>
</div>
<div class="ttc" id="anamespacedata__structures_1_1treap_html"><div class="ttname"><a href="../../dd/d2e/namespacedata__structures_1_1treap.html">data_structures::treap</a></div><div class="ttdoc">Functions for the Treap algorithm implementation.</div><div class="ttdef"><b>Definition</b> <a href="#l00035">treap.cpp:35</a></div></div>
<div class="ttc" id="anamespacedata__structures_1_1treap_html_ad939ec178d0069aeea14b7d6d7d12099"><div class="ttname"><a href="../../dd/d2e/namespacedata__structures_1_1treap.html#ad939ec178d0069aeea14b7d6d7d12099">data_structures::treap::maxNode</a></div><div class="ttdeci">const int maxNode</div><div class="ttdoc">maximum number of nodes</div><div class="ttdef"><b>Definition</b> <a href="#l00036">treap.cpp:36</a></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="astructdata__structures_1_1treap_1_1_treap_html"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a></div><div class="ttdoc">Struct representation of the treap.</div><div class="ttdef"><b>Definition</b> <a href="#l00040">treap.cpp:40</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a1ab082fe0aa95a238bbbc68ab6a72425"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a1ab082fe0aa95a238bbbc68ab6a72425">data_structures::treap::Treap::treapCnt</a></div><div class="ttdeci">int treapCnt</div><div class="ttdoc">Total number of current nodes in the treap.</div><div class="ttdef"><b>Definition</b> <a href="#l00042">treap.cpp:42</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a3081969b2714a8101f7df28b1ce5ed2c"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a3081969b2714a8101f7df28b1ce5ed2c">data_structures::treap::Treap::root</a></div><div class="ttdeci">int root</div><div class="ttdoc">root of the treap</div><div class="ttdef"><b>Definition</b> <a href="#l00041">treap.cpp:41</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a32db3ba3b2630943faacd27b2ecd1b04"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a32db3ba3b2630943faacd27b2ecd1b04">data_structures::treap::Treap::key</a></div><div class="ttdeci">std::array&lt; int, maxNode &gt; key</div><div class="ttdoc">Node identifier.</div><div class="ttdef"><b>Definition</b> <a href="#l00043">treap.cpp:43</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5d200493aeaa02a269f6b6deda39a683"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5d200493aeaa02a269f6b6deda39a683">data_structures::treap::Treap::Treap</a></div><div class="ttdeci">Treap()</div><div class="ttdoc">Initialization.</div><div class="ttdef"><b>Definition</b> <a href="#l00055">treap.cpp:55</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5e884d2686aff501ef589b0d1185492f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">data_structures::treap::Treap::insert</a></div><div class="ttdeci">void insert(int k)</div><div class="ttdoc">Insert element (External method)</div><div class="ttdef"><b>Definition</b> <a href="#l00203">treap.cpp:203</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a6a023a4f0c42fb8ed5b3368fba1a5f2c"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a6a023a4f0c42fb8ed5b3368fba1a5f2c">data_structures::treap::Treap::_insert</a></div><div class="ttdeci">void _insert(int &amp;x, int k)</div><div class="ttdoc">Insert a value into the specified subtree (internal method)</div><div class="ttdef"><b>Definition</b> <a href="#l00085">treap.cpp:85</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a75a48584a6560de20484fbba6229fd29"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a75a48584a6560de20484fbba6229fd29">data_structures::treap::Treap::rotate</a></div><div class="ttdeci">void rotate(int &amp;x, int t)</div><div class="ttdoc">Rotate without breaking the property of BST.</div><div class="ttdef"><b>Definition</b> <a href="#l00071">treap.cpp:71</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a767b28f9911fc32b8462862be058a4a4"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">data_structures::treap::Treap::get_next</a></div><div class="ttdeci">int get_next(int k)</div><div class="ttdoc">Get the successor node of element k.</div><div class="ttdef"><b>Definition</b> <a href="#l00188">treap.cpp:188</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a8be70f0a25e53e870e97d8d23968d723"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a8be70f0a25e53e870e97d8d23968d723">data_structures::treap::Treap::priority</a></div><div class="ttdeci">std::array&lt; int, maxNode &gt; priority</div><div class="ttdoc">Random priority.</div><div class="ttdef"><b>Definition</b> <a href="#l00044">treap.cpp:44</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9a77d22f97add119123108211c6655ec"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9a77d22f97add119123108211c6655ec">data_structures::treap::Treap::_get_rank</a></div><div class="ttdeci">int _get_rank(int x, int k)</div><div class="ttdoc">Query the rank of specified element (internal method)</div><div class="ttdef"><b>Definition</b> <a href="#l00155">treap.cpp:155</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9ea2becd904e2e7d22f23a001b444469"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">data_structures::treap::Treap::erase</a></div><div class="ttdeci">void erase(int k)</div><div class="ttdoc">Erase element (External method)</div><div class="ttdef"><b>Definition</b> <a href="#l00208">treap.cpp:208</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_aae9facaede462ad924856c4d707646d7"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aae9facaede462ad924856c4d707646d7">data_structures::treap::Treap::update</a></div><div class="ttdeci">void update(int x)</div><div class="ttdoc">Update the subtree size of the node.</div><div class="ttdef"><b>Definition</b> <a href="#l00063">treap.cpp:63</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab2db3ad3aecc240011e0c8b8604d2c69"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">data_structures::treap::Treap::get_k_th</a></div><div class="ttdeci">int get_k_th(int k)</div><div class="ttdoc">Get the KTH largest value (External method)</div><div class="ttdef"><b>Definition</b> <a href="#l00214">treap.cpp:214</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab8b9899f22070cfa01db5bf874296126"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">data_structures::treap::Treap::get_predecessor</a></div><div class="ttdeci">int get_predecessor(int k)</div><div class="ttdoc">Get the predecessor node of element k.</div><div class="ttdef"><b>Definition</b> <a href="#l00172">treap.cpp:172</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab99f68b79e1c4ff0f1cd6f2f0b6a545f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab99f68b79e1c4ff0f1cd6f2f0b6a545f">data_structures::treap::Treap::childs</a></div><div class="ttdeci">std::array&lt; std::array&lt; int, 2 &gt;, maxNode &gt; childs</div><div class="ttdef"><b>Definition</b> <a href="#l00045">treap.cpp:45</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ac94e9d69305940f6d8804031455af039"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">data_structures::treap::Treap::get_rank</a></div><div class="ttdeci">int get_rank(int k)</div><div class="ttdoc">Get the rank of specified element (External method)</div><div class="ttdef"><b>Definition</b> <a href="#l00220">treap.cpp:220</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ad08520c0617eb8dcfcbfa90d258aa6b2"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ad08520c0617eb8dcfcbfa90d258aa6b2">data_structures::treap::Treap::_get_k_th</a></div><div class="ttdeci">int _get_k_th(int &amp;x, int k)</div><div class="ttdoc">Find the KTH largest value (internal method)</div><div class="ttdef"><b>Definition</b> <a href="#l00139">treap.cpp:139</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_aeb4bb0db68c7c04ef9498c88c3777887"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#aeb4bb0db68c7c04ef9498c88c3777887">data_structures::treap::Treap::_erase</a></div><div class="ttdeci">void _erase(int &amp;x, int k)</div><div class="ttdoc">Erase a value from the specified subtree (internal method)</div><div class="ttdef"><b>Definition</b> <a href="#l00112">treap.cpp:112</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_af5f0b8263339485989f8a02ae026114c"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af5f0b8263339485989f8a02ae026114c">data_structures::treap::Treap::size</a></div><div class="ttdeci">std::array&lt; int, maxNode &gt; size</div><div class="ttdoc">The number of copies per node.</div><div class="ttdef"><b>Definition</b> <a href="#l00051">treap.cpp:51</a></div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_af7e6c6620ab32bc96633d101245fa919"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#af7e6c6620ab32bc96633d101245fa919">data_structures::treap::Treap::cnt</a></div><div class="ttdeci">std::array&lt; int, maxNode &gt; cnt</div><div class="ttdoc">Maintains the subtree size for ranking query.</div><div class="ttdef"><b>Definition</b> <a href="#l00049">treap.cpp:49</a></div></div>
<div class="ttc" id="atreap_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d0/dd2/treap_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="#l00229">treap.cpp:229</a></div></div>
<div class="ttc" id="atreap_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d0/dd2/treap_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="#l00255">treap.cpp:255</a></div></div>
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