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二叉树的图形化显示 | 雅乐网 </title>
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<meta name="description" content="二叉树的图形化显示最主要的一步就是计算每个结点的位置。得到位置后，可以使用命令行或者图形界面来显示。应该说使用图形界面可以在任意坐标处画图，实现起来要比命令行简单很多。本文介绍如何计算结点的横纵坐标，并分别给出命令行和基于QT的图形界面显示的C++代码。 本文中的二叉树数据结构代码见 常用数据结构C+" />
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html" title="二叉树的图形化显示">二叉树的图形化显示</a>
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<ul id="content-index-contents"><li class="content-index-level-1"><a href="http://www.yalewoo.com/binary_tree_graphical_display.html#计算结点位置" title="计算结点位置"><em>1</em><span>计算结点位置</span></a><ul class="children"><li class="content-index-level-2"><a href="http://www.yalewoo.com/binary_tree_graphical_display.html#计算深度" title="计算深度"><em>1.1</em><span>计算深度</span></a></li><li class="content-index-level-2"><a href="http://www.yalewoo.com/binary_tree_graphical_display.html#计算水平位置" title="计算水平位置"><em>1.2</em><span>计算水平位置</span></a></li></ul></li><li class="content-index-level-1"><a href="http://www.yalewoo.com/binary_tree_graphical_display.html#使用QT图形化显示二叉树" title="使用QT图形化显示二叉树"><em>2</em><span>使用QT图形化显示二叉树</span></a></li><li class="content-index-level-1"><a href="http://www.yalewoo.com/binary_tree_graphical_display.html#使用命令行显示二叉树" title="使用命令行显示二叉树"><em>3</em><span>使用命令行显示二叉树</span></a></li></ul></div>
<p>二叉树的图形化显示最主要的一步就是计算每个结点的位置。得到位置后，可以使用命令行或者图形界面来显示。应该说使用图形界面可以在任意坐标处画图，实现起来要比命令行简单很多。本文介绍如何计算结点的横纵坐标，并分别给出命令行和基于QT的图形界面显示的C++代码。</p>
<p>本文中的二叉树数据结构代码见 <a target="_blank" title="常用数据结构C++实现(3)：二叉树和二叉搜索树" href="http://www.yalewoo.com/data_structure_cpp_3_binary_tree_and_binary_search_tree.html" target="_blank" rel="noopener noreferrer">常用数据结构C++实现(3)：二叉树和二叉搜索树 | 雅乐网</a></p>
<p><strong>福利：本文附带Qt图形显示二叉树、平衡搜索树和红黑树的源代码</strong></p>
<h3 id="计算结点位置">计算结点位置</h3>
<p>观察一棵二叉树</p>
<p><a target="_blank" href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20160114100545.png"><img class="alignnone size-full wp-image-2224" data-original="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20160114100545.png" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" alt="scrn20160114100545" width="736" height="481" /></a></p>
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<p><strong>从水平方向来看，从左到右的结点是按照中序遍历的次序。</strong></p>
<p><strong>从垂直方向来看，结点的深度就是该结点到树根的距离。</strong></p>
<h4 id="计算深度">计算深度</h4>
<p>先通过parent指针一直遍历到树根，求出根节点深度。然后孩子节点深度就等于它的父节点深度+1 ，这要求更新结点的顺序要按照深度来进行，而层次遍历正好符合这一要求。</p>
<div id="crayon-5a2b9b9c84cff523529196" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
//更新x到root的距离 用于display
template <typename T>
void BinTree<T>::updateDistanceToRoot(BinNodePosi(T) x)
{
if (!x) return;
int i = 0;
BinNodePosi(T) p = x;
while (p != NULL)
{
p = p->parent;
++i;
}
x->distance_to_root = i-1;
Queue<BinNodePosi(T)> q;
q.enqueue(x);
while (!q.empty())
{
x = q.dequeue();
if (x && x->parent)
x->distance_to_root = x->parent->distance_to_root + 1;
if (x->lchild) q.enqueue(x->lchild);
if (x->rchild) q.enqueue(x->rchild);
}
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-14">14</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-15">15</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-16">16</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-17">17</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-18">18</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-19">19</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-20">20</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-21">21</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-22">22</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-23">23</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-24">24</div><div class="crayon-num" data-line="crayon-5a2b9b9c84cff523529196-25">25</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-1"><span class="crayon-c">//更新x到root的距离 用于display</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-2"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-3"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">BinTree</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">updateDistanceToRoot</span><span class="crayon-sy">(</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-4"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-5"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-st">return</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-6"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-7"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-8"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">!=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-9"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-10"><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">p</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-11"><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">i</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-12"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-13"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-14"> </div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-15"><span class="crayon-h"> </span><span class="crayon-v">Queue</span><span class="crayon-o"><</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-o">></span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-16"><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-17"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-18"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-19"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">dequeue</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-20"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">)</span><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-21"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-22"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-23"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-24"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84cff523529196-25"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p></p>
<h4 id="计算水平位置">计算水平位置</h4>
<p>可以稍微改写中序遍历，设置变量记录结点的访问次序，得到每个结点的相对次序。</p>
<p>在此前的二叉树中有一个现成的succ()接口，用来返回中序遍历意义下的下一个结点，利用这个接口，可以方便的计算每个结点的水平位置：</p>
<div id="crayon-5a2b9b9c84d14862303024" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
template <typename T>
void BinTree<T>::calculatePosition()
{
//计算垂直位置
updateDistanceToRoot(_root);
//计算水平位置
int count = 0;
BinNodePosi(T) x = _root;
//找到中序遍历的第一个结点
while (x->lchild != NULL)
x = x->lchild;
//按照中序遍历的次序记录结点访问次序
while (x != NULL)
{
x->horizontal_position = ++count;
x->horizontal_position *= 4; //水平位置放缩4倍 命令行显示时结点之间的空隙4个字符
x = x->succ();
}
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-14">14</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-15">15</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-16">16</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-17">17</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-18">18</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-19">19</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-20">20</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-21">21</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d14862303024-22">22</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-1"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-2"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">BinTree</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">calculatePosition</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-3"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-4"><span class="crayon-h"> </span><span class="crayon-c">//计算垂直位置</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-5"><span class="crayon-h"> </span><span class="crayon-e">updateDistanceToRoot</span><span class="crayon-sy">(</span><span class="crayon-v">_root</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-6"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-7"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-8"><span class="crayon-h"> </span><span class="crayon-c">//计算水平位置</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-9"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">count</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-10"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">_root</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-11"><span class="crayon-h"> </span><span class="crayon-c">//找到中序遍历的第一个结点</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-12"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-h"> </span><span class="crayon-o">!=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-13"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-14"><span class="crayon-h"> </span><span class="crayon-c">//按照中序遍历的次序记录结点访问次序</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-15"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">!=</span><span class="crayon-h"> </span><span class="crayon-t">NULL</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-16"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-17"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">count</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-18"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-h"> </span><span class="crayon-o">*=</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-c">//水平位置放缩4倍 命令行显示时结点之间的空隙4个字符</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-19"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-e">succ</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-20"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-21"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d14862303024-22"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p></p>
<h3 id="使用QT图形化显示二叉树">使用QT图形化显示二叉树</h3>
<p>由于有些小伙伴要源代码，Qt部分的完整代码下载：包含显示搜索树、平衡树和红黑树三个图形界面源代码</p>
<p><span style="font-size: 18pt;"><a target="_blank" href="https://u3962903.ctfile.com/fs/3962903-230843634">PaintBinTree</a></span></p>
<p>使用QT中的paintevent来画图，首先从QWidget继承一个类，然后重写paintEvent函数。</p>
<div id="crayon-5a2b9b9c84d20208039717" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
#ifndef DRAW_H
#define DRAW_H
#include "BST.h"
#include <QWidget>
#include <QPaintEvent>
class DrawWidget : public QWidget
{
Q_OBJECT
public:
BST<int> *bst;
DrawWidget(QWidget *p = 0);
void paintEvent(QPaintEvent *);
};
#endif // DRAW_H</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-14">14</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-15">15</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-16">16</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-17">17</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d20208039717-18">18</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-1"><span class="crayon-p">#ifndef DRAW_H</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-2"><span class="crayon-p">#define DRAW_H</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-3"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-4"><span class="crayon-p">#include "BST.h"</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-5"><span class="crayon-p">#include <QWidget></span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-6"><span class="crayon-p">#include <QPaintEvent></span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-7"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-8"><span class="crayon-t">class</span><span class="crayon-h"> </span><span class="crayon-v">DrawWidget</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-m">public</span><span class="crayon-h"> </span><span class="crayon-e">QWidget</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-9"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-10"><span class="crayon-h"> </span><span class="crayon-e">Q_OBJECT</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-11"><span class="crayon-m">public</span><span class="crayon-o">:</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-12"><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-t">int</span><span class="crayon-o">></span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-v">bst</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-13"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-14"><span class="crayon-h"> </span><span class="crayon-e">DrawWidget</span><span class="crayon-sy">(</span><span class="crayon-v">QWidget</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-v">p</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-15"><span class="crayon-h"> </span><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-e">paintEvent</span><span class="crayon-sy">(</span><span class="crayon-v">QPaintEvent</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-16"><span class="crayon-sy">}</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-17"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d20208039717-18"><span class="crayon-p">#endif // DRAW_H</span></div></div></td>
</tr>
</table>
</div>
</div><p>下面是画图函数</p>
<div id="crayon-5a2b9b9c84d2f501568990" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
#include "draw.h"
#include <QPainter>
DrawWidget::DrawWidget(QWidget *p):QWidget(p)
{
bst = new BST<int>;
}
void DrawWidget::paintEvent(QPaintEvent *)
{
QPainter painter(this);
if (!bst->empty())
{
bst->display(); //调用命令行显示 从而计算结点位置
//层次遍历第一遍 画线
Queue<BinNodePosi(int)> q;
BinNodePosi(int) x = bst->root();
q.enqueue(x);
while (!q.empty())
{
x = q.dequeue();
if (x)
{
if (x && x->parent)
painter.drawLine(30*x->horizontal_position+30, 30+100 * x->distance_to_root, 30*x->parent->horizontal_position+30, 30+100 * x->parent->distance_to_root);
}
if (x->lchild) q.enqueue(x->lchild);
if (x->rchild) q.enqueue(x->rchild);
}
//层次遍历第二遍 画结点
x = bst->root();
q.enqueue(x);
while (!q.empty())
{
x = q.dequeue();
if (x)
{
painter.setBrush(Qt::yellow);
painter.drawEllipse(30*x->horizontal_position, 100 * x->distance_to_root, 60, 60);
painter.drawText(30*x->horizontal_position+20, 100 * x->distance_to_root+30, QString::number(x->data));
}
if (x->lchild) q.enqueue(x->lchild);
if (x->rchild) q.enqueue(x->rchild);
}
}
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-14">14</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-15">15</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-16">16</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-17">17</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-18">18</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-19">19</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-20">20</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-21">21</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-22">22</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-23">23</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-24">24</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-25">25</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-26">26</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-27">27</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-28">28</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-29">29</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-30">30</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-31">31</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-32">32</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-33">33</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-34">34</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-35">35</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-36">36</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-37">37</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-38">38</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-39">39</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-40">40</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-41">41</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-42">42</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-43">43</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-44">44</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-45">45</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-46">46</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-47">47</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-48">48</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-49">49</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-50">50</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d2f501568990-51">51</div></div>
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<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-1"><span class="crayon-p">#include "draw.h"</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-2"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-3"><span class="crayon-p">#include <QPainter></span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-4"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-5"><span class="crayon-v">DrawWidget</span><span class="crayon-o">::</span><span class="crayon-e">DrawWidget</span><span class="crayon-sy">(</span><span class="crayon-v">QWidget</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-v">p</span><span class="crayon-sy">)</span><span class="crayon-o">:</span><span class="crayon-e">QWidget</span><span class="crayon-sy">(</span><span class="crayon-v">p</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-6"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-7"><span class="crayon-h"> </span><span class="crayon-v">bst</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-r">new</span><span class="crayon-h"> </span><span class="crayon-v">BST</span><span class="crayon-o"><</span><span class="crayon-t">int</span><span class="crayon-o">></span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-8"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-9"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-10"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">DrawWidget</span><span class="crayon-o">::</span><span class="crayon-e">paintEvent</span><span class="crayon-sy">(</span><span class="crayon-v">QPaintEvent</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-11"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-12"><span class="crayon-h"> </span><span class="crayon-e">QPainter </span><span class="crayon-e">painter</span><span class="crayon-sy">(</span><span class="crayon-r">this</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-13"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-14"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-15"><span class="crayon-h"> </span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-c">//调用命令行显示 从而计算结点位置</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-16"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-17"><span class="crayon-h"> </span><span class="crayon-c">//层次遍历第一遍 画线</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-18"><span class="crayon-h"> </span><span class="crayon-v">Queue</span><span class="crayon-o"><</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-t">int</span><span class="crayon-sy">)</span><span class="crayon-o">></span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-19"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-t">int</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">root</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-20"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-21"><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-22"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-23"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-24"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">dequeue</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-25"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-26"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-27"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-28"><span class="crayon-h"> </span><span class="crayon-v">painter</span><span class="crayon-sy">.</span><span class="crayon-e">drawLine</span><span class="crayon-sy">(</span><span class="crayon-cn">30</span><span class="crayon-o">*</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-o">+</span><span class="crayon-cn">30</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">30</span><span class="crayon-o">+</span><span class="crayon-cn">100</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">30</span><span class="crayon-o">*</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-o">+</span><span class="crayon-cn">30</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">30</span><span class="crayon-o">+</span><span class="crayon-cn">100</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-r">parent</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-29"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-30"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-31"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-32"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-33"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-34"><span class="crayon-h"> </span><span class="crayon-c">//层次遍历第二遍 画结点</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-35"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">root</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-36"><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-37"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-38"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-39"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">dequeue</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-40"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-41"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-42"><span class="crayon-h"> </span><span class="crayon-v">painter</span><span class="crayon-sy">.</span><span class="crayon-e">setBrush</span><span class="crayon-sy">(</span><span class="crayon-v">Qt</span><span class="crayon-o">::</span><span class="crayon-v">yellow</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-43"><span class="crayon-h"> </span><span class="crayon-v">painter</span><span class="crayon-sy">.</span><span class="crayon-e">drawEllipse</span><span class="crayon-sy">(</span><span class="crayon-cn">30</span><span class="crayon-o">*</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">100</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">60</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">60</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-44"><span class="crayon-h"> </span><span class="crayon-v">painter</span><span class="crayon-sy">.</span><span class="crayon-e">drawText</span><span class="crayon-sy">(</span><span class="crayon-cn">30</span><span class="crayon-o">*</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-o">+</span><span class="crayon-cn">20</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">100</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-o">+</span><span class="crayon-cn">30</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">QString</span><span class="crayon-o">::</span><span class="crayon-e">number</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-45"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-46"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-47"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-48"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-49"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-50"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d2f501568990-51"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p>在主窗口界面，实现插入和删除，之后调用update来更新。</p>
<div id="crayon-5a2b9b9c84d3c780215128" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
void MainWindow::insertclicked()
{
QString num = elem->text();
int n = num.toInt();
d->bst->insert(n);
d->update();
}
void MainWindow::deleteclicked()
{
QString num = todelete->text();
int n = num.toInt();
d->bst->remove(n);
d->update();
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d3c780215128-14">14</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-1"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">MainWindow</span><span class="crayon-o">::</span><span class="crayon-e">insertclicked</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-2"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-3"><span class="crayon-h"> </span><span class="crayon-e">QString </span><span class="crayon-v">num</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">elem</span><span class="crayon-o">-></span><span class="crayon-e">text</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-4"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">n</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">num</span><span class="crayon-sy">.</span><span class="crayon-e">toInt</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-5"><span class="crayon-h"> </span><span class="crayon-v">d</span><span class="crayon-o">-></span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">insert</span><span class="crayon-sy">(</span><span class="crayon-v">n</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-6"><span class="crayon-h"> </span><span class="crayon-v">d</span><span class="crayon-o">-></span><span class="crayon-e">update</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-7"><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-8"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">MainWindow</span><span class="crayon-o">::</span><span class="crayon-e">deleteclicked</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-9"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-10"><span class="crayon-h"> </span><span class="crayon-e">QString </span><span class="crayon-v">num</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">todelete</span><span class="crayon-o">-></span><span class="crayon-e">text</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-11"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">n</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">num</span><span class="crayon-sy">.</span><span class="crayon-e">toInt</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-12"><span class="crayon-h"> </span><span class="crayon-v">d</span><span class="crayon-o">-></span><span class="crayon-v">bst</span><span class="crayon-o">-></span><span class="crayon-e">remove</span><span class="crayon-sy">(</span><span class="crayon-v">n</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-13"><span class="crayon-h"> </span><span class="crayon-v">d</span><span class="crayon-o">-></span><span class="crayon-e">update</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d3c780215128-14"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p>最终运行结果如下图</p>
<p>二叉树：</p>
<p><a target="_blank" href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20160114104523.png"><img class="alignnone size-full wp-image-2225" data-original="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20160114104523.png" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" alt="scrn20160114104523" width="770" height="423" /></a></p>
<noscript><img class="alignnone size-full wp-image-2225" src="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20160114104523.png" alt="scrn20160114104523" width="770" height="423" /></a></p></noscript>
<p>红黑树：</p>
<p><a target="_blank" href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20171107184415.png"><img class="alignnone size-large wp-image-3283" data-original="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20171107184415-1024x413.png" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" alt="" width="1024" height="413" /></a></p>
<noscript><img class="alignnone size-large wp-image-3283" src="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/scrn20171107184415-1024x413.png" alt="" width="1024" height="413" /></a></p></noscript>
<h3 id="使用命令行显示二叉树">使用命令行显示二叉树</h3>
<p>命令行的输出必须从左到右，从上到下，这带来了不必要的繁琐。</p>
<div id="crayon-5a2b9b9c84d48305493943" class="crayon-syntax crayon-theme-classic crayon-font-consolas crayon-os-pc print-yes notranslate" data-settings=" minimize scroll-mouseover disable-anim wrap" style=" margin-top: 12px; margin-bottom: 12px; font-size: 20px !important; line-height: 30px !important;">
<div class="crayon-plain-wrap"><textarea class="crayon-plain print-no" data-settings="dblclick" readonly style="-moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4; font-size: 20px !important; line-height: 30px !important;">
template <typename T>
void BinTree<T>::display()
{
calculatePosition();
Queue<BinNodePosi(T)> q;
BinNodePosi(T) x = _root;
q.enqueue(x);
int nowheight = 0;
int lastheight = 0;
int levelcount = 0;
int i = 0;
while (!q.empty())
{
x = q.dequeue();
long long int tmpposi;
if (x)
{
nowheight = x->distance_to_root;
if (nowheight != lastheight)
{
lastheight = nowheight;
cout << endl;
levelcount = 0;
}
for(i = levelcount; i < posilchild(x); ++i)
{
printf(" ");
}
int firstprint = 1;
for (; i < x->horizontal_position; ++i)
{
if (firstprint)
{
printf("_");
firstprint = 0;
}
else
printf("_");
}
tmpposi = cout.tellp();
cout << x->data;
long long int tellpppp = cout.tellp() - tmpposi;
levelcount += (int) (tellpppp);
levelcount += x->horizontal_position - levelcount;
for (i = levelcount; i < posirchild(x); ++i)
{
if (i == posirchild(x) - 1)
printf("_");
else
printf("_");
}
levelcount = i;
}
if (x && x->lchild) q.enqueue(x->lchild);
if (x && x->rchild) q.enqueue(x->rchild);
}
cout << endl << endl;
}</textarea></div>
<div class="crayon-main" style="">
<table class="crayon-table">
<tr class="crayon-row">
<td class="crayon-nums " data-settings="show">
<div class="crayon-nums-content" style="font-size: 20px !important; line-height: 30px !important;"><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-1">1</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-2">2</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-3">3</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-4">4</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-5">5</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-6">6</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-7">7</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-8">8</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-9">9</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-10">10</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-11">11</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-12">12</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-13">13</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-14">14</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-15">15</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-16">16</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-17">17</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-18">18</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-19">19</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-20">20</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-21">21</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-22">22</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-23">23</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-24">24</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-25">25</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-26">26</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-27">27</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-28">28</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-29">29</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-30">30</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-31">31</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-32">32</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-33">33</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-34">34</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-35">35</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-36">36</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-37">37</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-38">38</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-39">39</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-40">40</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-41">41</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-42">42</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-43">43</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-44">44</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-45">45</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-46">46</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-47">47</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-48">48</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-49">49</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-50">50</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-51">51</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-52">52</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-53">53</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-54">54</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-55">55</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-56">56</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-57">57</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-58">58</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-59">59</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-60">60</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-61">61</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-62">62</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-63">63</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-64">64</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-65">65</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-66">66</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-67">67</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-68">68</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-69">69</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-70">70</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-71">71</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-72">72</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-73">73</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-74">74</div><div class="crayon-num" data-line="crayon-5a2b9b9c84d48305493943-75">75</div></div>
</td>
<td class="crayon-code"><div class="crayon-pre" style="font-size: 20px !important; line-height: 30px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-1"><span class="crayon-t">template</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-r">typename</span><span class="crayon-h"> </span><span class="crayon-v">T</span><span class="crayon-o">></span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-2"><span class="crayon-t">void</span><span class="crayon-h"> </span><span class="crayon-v">BinTree</span><span class="crayon-o"><</span><span class="crayon-v">T</span><span class="crayon-o">></span><span class="crayon-o">::</span><span class="crayon-e">display</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-3"><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-4"><span class="crayon-h"> </span><span class="crayon-e">calculatePosition</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-5"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-6"><span class="crayon-h"> </span><span class="crayon-v">Queue</span><span class="crayon-o"><</span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-o">></span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-7"><span class="crayon-h"> </span><span class="crayon-e">BinNodePosi</span><span class="crayon-sy">(</span><span class="crayon-v">T</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">_root</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-8"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-9"><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-10"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-11"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">nowheight</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-12"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">lastheight</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-13"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-14"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-15"><span class="crayon-h"> </span><span class="crayon-st">while</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-o">!</span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-16"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-17"><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">dequeue</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-18"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-19"><span class="crayon-h"> </span><span class="crayon-t">long</span><span class="crayon-h"> </span><span class="crayon-t">long</span><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">tmpposi</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-20"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-21"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-22"><span class="crayon-h"> </span><span class="crayon-v">nowheight</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">distance_to_root</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-23"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-24"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">nowheight</span><span class="crayon-h"> </span><span class="crayon-o">!=</span><span class="crayon-h"> </span><span class="crayon-v">lastheight</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-25"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-26"><span class="crayon-h"> </span><span class="crayon-v">lastheight</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">nowheight</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-27"><span class="crayon-h"> </span><span class="crayon-r">cout</span><span class="crayon-h"> </span><span class="crayon-o"><<</span><span class="crayon-h"> </span><span class="crayon-v">endl</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-28"><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-29"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-30"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-31"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-32"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-33"><span class="crayon-h"> </span><span class="crayon-st">for</span><span class="crayon-sy">(</span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-h"> </span><span class="crayon-e">posilchild</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">i</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-34"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-35"><span class="crayon-h"> </span><span class="crayon-e">printf</span><span class="crayon-sy">(</span><span class="crayon-s">" "</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-36"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-37"><span class="crayon-h"> </span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-38"><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">firstprint</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-39"><span class="crayon-h"> </span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">i</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-40"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-41"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">firstprint</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-42"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-43"><span class="crayon-h"> </span><span class="crayon-e">printf</span><span class="crayon-sy">(</span><span class="crayon-s">"_"</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-44"><span class="crayon-h"> </span><span class="crayon-v">firstprint</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-45"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-46"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-47"><span class="crayon-h"> </span><span class="crayon-e">printf</span><span class="crayon-sy">(</span><span class="crayon-s">"_"</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-48"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-49"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-50"><span class="crayon-h"> </span><span class="crayon-v">tmpposi</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-r">cout</span><span class="crayon-sy">.</span><span class="crayon-e">tellp</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-51"><span class="crayon-h"> </span><span class="crayon-r">cout</span><span class="crayon-h"> </span><span class="crayon-o"><<</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">data</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-52"><span class="crayon-h"> </span><span class="crayon-t">long</span><span class="crayon-h"> </span><span class="crayon-t">long</span><span class="crayon-h"> </span><span class="crayon-t">int</span><span class="crayon-h"> </span><span class="crayon-v">tellpppp</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-r">cout</span><span class="crayon-sy">.</span><span class="crayon-e">tellp</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-h"> </span><span class="crayon-v">tmpposi</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-53"><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-t">int</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">tellpppp</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-54"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-55"><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">horizontal_position</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-56"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-57"><span class="crayon-h"> </span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o"><</span><span class="crayon-h"> </span><span class="crayon-e">posirchild</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span><span class="crayon-h"> </span><span class="crayon-o">++</span><span class="crayon-v">i</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-58"><span class="crayon-h"> </span><span class="crayon-sy">{</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-59"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-e">posirchild</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-60"><span class="crayon-h"> </span><span class="crayon-e">printf</span><span class="crayon-sy">(</span><span class="crayon-s">"_"</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-61"><span class="crayon-h"> </span><span class="crayon-st">else</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-62"><span class="crayon-h"> </span><span class="crayon-e">printf</span><span class="crayon-sy">(</span><span class="crayon-s">"_"</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-63"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-64"><span class="crayon-h"> </span><span class="crayon-v">levelcount</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-65"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-66"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-67"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-68"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-69"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">lchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-70"><span class="crayon-h"> </span><span class="crayon-st">if</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">&&</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-v">q</span><span class="crayon-sy">.</span><span class="crayon-e">enqueue</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-o">-></span><span class="crayon-v">rchild</span><span class="crayon-sy">)</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-71"><span class="crayon-h"> </span><span class="crayon-sy">}</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-72"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-73"> </div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-74"><span class="crayon-h"> </span><span class="crayon-r">cout</span><span class="crayon-h"> </span><span class="crayon-o"><<</span><span class="crayon-h"> </span><span class="crayon-v">endl</span><span class="crayon-h"> </span><span class="crayon-o"><<</span><span class="crayon-h"> </span><span class="crayon-v">endl</span><span class="crayon-sy">;</span></div><div class="crayon-line" id="crayon-5a2b9b9c84d48305493943-75"><span class="crayon-sy">}</span></div></div></td>
</tr>
</table>
</div>
</div><p>运行结果如图</p>
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<p> 本文由 <a href="http://www.yalewoo.com/author/yalewoo" title="由yalewoo发布" rel="author">yalewoo</a> 原创，商业转载请联系作者获得授权。 <br>非商业转载请注明作者 <a href="http://www.yalewoo.com/author/yalewoo" title="由yalewoo发布" rel="author">yalewoo</a> 或 <a href="http://www.yalewoo.com/" title="雅乐网" ?>雅乐网</a> ，并附带本文链接：<br><a href="http://www.yalewoo.com/binary_tree_graphical_display.html" title=二叉树的图形化显示>http://www.yalewoo.com/binary_tree_graphical_display.html</a></p>
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文章《二叉树的图形化显示》共有10条评论：
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<li class="comment even thread-even depth-1" id="li-comment-586">
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<img alt='' data-original="http://1.gravatar.com/avatar/4b14177d2637d0682e5d2abaa8c23602?s=64&d=identicon&r=g" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" srcset='http://1.gravatar.com/avatar/4b14177d2637d0682e5d2abaa8c23602?s=128&d=identicon&r=g 2x' class='avatar avatar-64 photo' height='64' width='64' />
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匿名 </div>
<p>请问有QT部分的完整代码么？</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-586"><time datetime="2017-05-22T11:38:21+00:00">2017年5月22日 11:38</time></a>
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yalewoo <span class="comment-author-is-bloger"> 作者</span> </div>
<p>发到你邮箱了</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-587"><time datetime="2017-05-22T16:57:32+00:00">2017年5月22日 16:57</time></a>
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<img alt='' data-original="http://0.gravatar.com/avatar/61a1b5c8ec2b9281e19dbdc33fee0247?s=64&d=identicon&r=g" src="http://www.yalewoo.com/wp-content/themes/YLW3_lite/img/loading.gif" srcset='http://0.gravatar.com/avatar/61a1b5c8ec2b9281e19dbdc33fee0247?s=128&d=identicon&r=g 2x' class='avatar avatar-64 photo' height='64' width='64' />
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oldwang </div>
<p>大哥 QT有没有源代码，我想学习一下</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-589"><time datetime="2017-05-25T11:12:13+00:00">2017年5月25日 11:12</time></a>
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yalewoo <span class="comment-author-is-bloger"> 作者</span> </div>
<p>更新了地址 修复了一个删除结点的bug<br />
<a href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/PaintBinTree.zip" target="_blank" rel="noopener nofollow">http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/PaintBinTree.zip</a></p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-590"><time datetime="2017-05-25T11:20:24+00:00">2017年5月25日 11:20</time></a>
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匿名 </div>
<p>想问一下博主，QT部分代码如果构造的是一个对称的二叉树的画，在删除根节点的时候会出现段错误，要怎么修改</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-739"><time datetime="2017-11-07T13:41:09+00:00">2017年11月7日 13:41</time></a>
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yalewoo <span class="comment-author-is-bloger"> 作者</span> </div>
<p>感谢指出，因为二叉搜索树的代码里 remove 结点的函数有一点bug <img src="http://tb2.bdstatic.com/tb/editor/images/face/i_f09.png" alt="[泪]" class="wp-smiley" style="height: 1em; max-height: 1em;" /> 晚上改一下</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-740"><time datetime="2017-11-07T14:16:34+00:00">2017年11月7日 14:16</time></a>
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孔帆 </div>
<p>那个，还想请问下博主，我想在界面加一个按钮，把这个二叉搜索树转变成平衡树，要怎么修改(┌・ω・)┌✧</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-741"><time datetime="2017-11-07T17:54:19+00:00">2017年11月7日 17:54</time></a>
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yalewoo <span class="comment-author-is-bloger"> 作者</span> </div>
<p>Qt只是显示二叉树，二叉树具体什么样子是它自己的结构决定的。我的代码里需要把draw.h里面用到的BST数据结构BST改成AVL，源代码： <a href="http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/PaintBinTree.zip" rel="nofollow">http://7d9rd6.com1.z0.glb.clouddn.com/wp-content/uploads/2016/01/PaintBinTree.zip</a></p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-742"><time datetime="2017-11-07T18:48:46+00:00">2017年11月7日 18:48</time></a>
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yalewoo <span class="comment-author-is-bloger"> 作者</span> </div>
<p>改好了删除根节点错误的bug，里面有三个程序，对应的树分别是普通的二叉搜索树，平衡搜索树和红黑树</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-743"><time datetime="2017-11-07T18:49:49+00:00">2017年11月7日 18:49</time></a>
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孔帆 </div>
<p>哇，真的非常感谢博主，晚上回去好好消化代码ლ(́◉◞౪◟◉‵ლ)感谢！！！</p>
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<a href="http://www.yalewoo.com/binary_tree_graphical_display.html#comment-744"><time datetime="2017-11-07T19:01:30+00:00">2017年11月7日 19:01</time></a>
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