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<div id="projectname">Templates -- Meow
 <span id="projectnumber">1.1.2</span>
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<div id="projectbrief">不能,也不應該先編譯成obj-file的templates</div>
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<div class="title">SegmentTree.h</div> </div>
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<a href="SegmentTree_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef dsa_SegmentTree_H__</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor"></span><span class="preprocessor">#define dsa_SegmentTree_H__</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "../math/utility.h"</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#include <algorithm></span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include <cstdlib></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="keyword">namespace </span>meow {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">template</span><<span class="keyword">class</span> Value></div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html"> 45</a></span> <span class="keyword">class </span><a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a> {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">struct </span>Node {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  Value value_;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  Value offset_;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">bool</span> sameFlage_;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  };</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">size_t</span> size_;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  std::vector<Node> nodes_;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">void</span> update(<span class="keywordtype">size_t</span> index, <span class="keywordtype">size_t</span> <a class="code" href="classmeow_1_1SegmentTree.html#a8985a196cfb954bc469e7dae146ad4ed" title="回傳size">size</a>, Value <span class="keyword">const</span>& value, <span class="keywordtype">bool</span> <span class="keyword">override</span>) {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">if</span> (<span class="keyword">override</span>) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  nodes_[index].value_ = value * <a class="code" href="classmeow_1_1SegmentTree.html#a8985a196cfb954bc469e7dae146ad4ed" title="回傳size">size</a>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  nodes_[index].offset_ = value;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  nodes_[index].sameFlage_ = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  nodes_[index].value_ = nodes_[index].value_ + value * <a class="code" href="classmeow_1_1SegmentTree.html#a8985a196cfb954bc469e7dae146ad4ed" title="回傳size">size</a>;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  nodes_[index].offset_ = nodes_[index].offset_ + value;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordtype">void</span> update(<span class="keywordtype">size_t</span> l, <span class="keywordtype">size_t</span> r, <span class="keywordtype">size_t</span> L, <span class="keywordtype">size_t</span> R,</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordtype">size_t</span> index, Value <span class="keyword">const</span>& value,</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordtype">bool</span> <span class="keyword">override</span>) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">if</span> (l == L && r == R) {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  update(index, R - L + 1, value, <span class="keyword">override</span>);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  return ;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordtype">size_t</span> mid = (L + R) / 2;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">if</span> (L < R) {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  update(index * 2 + 1, mid - L + 1,</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  nodes_[index].offset_, nodes_[index].sameFlage_);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  update(index * 2 + 2, R - mid,</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  nodes_[index].offset_, nodes_[index].sameFlage_);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  nodes_[index].offset_ = Value(0);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  nodes_[index].sameFlage_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">if</span> (r <= mid) {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  update(l, r, L ,mid, index * 2 + 1, value, <span class="keyword">override</span>);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (mid + 1 <= l) {</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  update(l, r, mid + 1,R, index*2 + 2, value, <span class="keyword">override</span>);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  update(l, mid , L, mid , index * 2 + 1, value, <span class="keyword">override</span>);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  update( mid + 1, r, mid + 1, R, index * 2 + 2, value, <span class="keyword">override</span>);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  nodes_[index].value_ = (</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  (nodes_[index * 2 + 1].value_ | nodes_[index * 2 + 2].value_)</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  + nodes_[index].offset_</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  );</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  Value query(<span class="keywordtype">size_t</span> l, <span class="keywordtype">size_t</span> r, <span class="keywordtype">size_t</span> L, <span class="keywordtype">size_t</span> R, <span class="keywordtype">size_t</span> index) {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> (l == L && r == R) <span class="keywordflow">return</span> nodes_[index].value_;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  Value off = nodes_[index].offset_ * (r - l + 1);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">if</span> (nodes_[index].sameFlage_) <span class="keywordflow">return</span> off;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">size_t</span> mid = (L + R) / 2;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (r <= mid) <span class="keywordflow">return</span> query(l, r, L , mid, index * 2 + 1) + off;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(mid + 1 <= l) <span class="keywordflow">return</span> query(l, r, mid + 1, R, index * 2 + 2) + off;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> ( query(l, mid , L, mid , index * 2 + 1)</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  | query( mid + 1, r, mid + 1, R, index * 2 + 2)</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  ) + off;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordtype">bool</span> rangeCorrect(ssize_t* first, ssize_t* last)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (*last < *first || *last < 0 || (ssize_t)size_ - 1 < *first)</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  *first = <a class="code" href="namespacemeow.html#a98d838d338a3e6f3c57e94562fab3fa7" title="std::min(mx,std::max(mn,v))">inRange</a>((ssize_t)0, (ssize_t)size_ - 1, *first);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  *last = <a class="code" href="namespacemeow.html#a98d838d338a3e6f3c57e94562fab3fa7" title="std::min(mx,std::max(mn,v))">inRange</a>((ssize_t)0, (ssize_t)size_ - 1, *last );</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00121"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a8e8365f0440c68f3c0853b94a7de3ccb"> 121</a></span>  <a class="code" href="classmeow_1_1SegmentTree.html#a8e8365f0440c68f3c0853b94a7de3ccb" title="constructor">SegmentTree</a>() {</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="classmeow_1_1SegmentTree.html#a80c550b0a3b997bc541ae0947ae2f55d" title="將資料清空且設定維護範圍是 0~size-1 ">reset</a>(1);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a1fe904372d3cdd01f07a1c88f86b14a1"> 126</a></span>  <a class="code" href="classmeow_1_1SegmentTree.html#a1fe904372d3cdd01f07a1c88f86b14a1" title="constructor, with size gived">SegmentTree</a>(<span class="keywordtype">size_t</span> size) {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="classmeow_1_1SegmentTree.html#a80c550b0a3b997bc541ae0947ae2f55d" title="將資料清空且設定維護範圍是 0~size-1 ">reset</a>(size);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a12a47cdf24eacb80d0bad4010f6a2953"> 131</a></span>  <a class="code" href="classmeow_1_1SegmentTree.html#a8e8365f0440c68f3c0853b94a7de3ccb" title="constructor">SegmentTree</a>(<a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a> <span class="keyword">const</span>& tree2):</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  size_(tree2.size_), nodes_(tree2.nodes_) {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a889f38048ffe08ce3c80911878faac44"> 138</a></span>  <a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a> <a class="code" href="classmeow_1_1SegmentTree.html#a889f38048ffe08ce3c80911878faac44" title="複製">copyFrom</a>(<a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a> <span class="keyword">const</span>& b) {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  size_ = b.size_;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  nodes_ = b.nodes_;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  }</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a8985a196cfb954bc469e7dae146ad4ed"> 147</a></span>  <span class="keywordtype">size_t</span> <a class="code" href="classmeow_1_1SegmentTree.html#a8985a196cfb954bc469e7dae146ad4ed" title="回傳size">size</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">return</span> size_;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a80c550b0a3b997bc541ae0947ae2f55d"> 154</a></span>  <span class="keywordtype">void</span> <a class="code" href="classmeow_1_1SegmentTree.html#a80c550b0a3b997bc541ae0947ae2f55d" title="將資料清空且設定維護範圍是 0~size-1 ">reset</a>(<span class="keywordtype">size_t</span> size){</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  size_ = std::max(size, (<span class="keywordtype">size_t</span>)1);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  nodes_.resize(size * 4);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  nodes_[0].sameFlage_ = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  nodes_[0].value_ = Value(0);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  nodes_[0].offset_ = Value(0);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a18bb3667abd9810ce3534af3d70b14d5"> 165</a></span>  Value <a class="code" href="classmeow_1_1SegmentTree.html#a18bb3667abd9810ce3534af3d70b14d5" title="回傳區間 [first,last] (邊界都含) 的區間值">query</a>(ssize_t first, ssize_t last)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">if</span> (rangeCorrect(&first, &last) == <span class="keyword">false</span>) <span class="keywordflow">return</span> Value();</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">return</span> ((<a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a>*)<span class="keyword">this</span>)->query(first, last, 0, size_ - 1, 0);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00173"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a2f300a5fd5ffdd19e4b3efc6899a7439"> 173</a></span>  <span class="keywordtype">void</span> <span class="keyword">override</span>(ssize_t first, ssize_t last, Value <span class="keyword">const</span>& value) {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span> (rangeCorrect(&first, &last) == <span class="keyword">false</span>) <span class="keywordflow">return</span> ;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  update(first, last, 0, size_ - 1, 0, value, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  }</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00181"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#aaeca3de355dc367e2664e83800ee6aa5"> 181</a></span>  <span class="keywordtype">void</span> <a class="code" href="classmeow_1_1SegmentTree.html#aaeca3de355dc367e2664e83800ee6aa5" title="將區間 [first,last] 全部都加上 delta ">offset</a>(ssize_t first, ssize_t last, Value <span class="keyword">const</span>& delta) {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordflow">if</span> (rangeCorrect(&first, &last) == <span class="keyword">false</span>) return ;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  update(first, last, 0, size_ - 1, 0, delta, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="code" href="classmeow_1_1SegmentTree.html#a765e794af604ab7c20a4245dfafcf14c"> 187</a></span>  <a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a>& <a class="code" href="classmeow_1_1SegmentTree.html#a765e794af604ab7c20a4245dfafcf14c" title="same as copyFrom(b)">operator=</a>(<a class="code" href="classmeow_1_1SegmentTree.html" title="中文名 線段樹 ">SegmentTree</a> <span class="keyword">const</span>& b) {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">return</span> <a class="code" href="classmeow_1_1SegmentTree.html#a889f38048ffe08ce3c80911878faac44" title="複製">copyFrom</a>(b);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  }</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> };</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="preprocessor">#endif // dsa_SegmentTree_H__</span></div>
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