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用Python实现数据结构之二叉搜索树

5b51 2022/1/14 8:24:16 python 字数 113226 阅读 618 来源 www.jb51.cc/python

二叉搜索树 二叉搜索树是一种特殊的二叉树，它的特点是： 对于任意一个节点p，存储在p的左子树的中的所有节点中的值都小于p中的值 对于任意一个节点p，存储在p的右子树的中的所有节点中的值都大于p中的值

概述

<div class="markdown-here-wrapper" data-md-url="https://i.cnblogs.com/EditPosts.aspx?opt=1"&gt;
<h1 id="-" style="margin: 20px 0px 10px; padding: 0px; font-weight: bold; color: black; font-size: 24px; border-bottom: 2px solid #aaaaaa;">二叉搜索树
<p style="margin: 0px 0px 1.2em !important; font-size: 16px; line-height: 1.75em; padding-right: 0.5em; padding-left: 0.5em;">二叉搜索树是一种特殊的二叉树，它的特点是：

一个图例：

搜索树的这种关系，我们可以用它来实现有序映射

搜索树的特性，采用中序遍历的方式可以使得遍历结果是按照从小到大的顺序排列的。了解中序遍历可以参考

 :
    

<span class="hljs-keyword" style="font-weight: bold;"&gt;if</span> right(p) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:
    walk = right(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> left(right(p)) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:  <span class="hljs-comment" style="color: #738191;"&gt;# 找最左</span>
        walk = left(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> walk
<span class="hljs-keyword" style="font-weight: bold;"&gt;else</span>:
    walk = p
    ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> ancestor <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;and</span> walk == right(ancestor):  <span class="hljs-comment" style="color: #738191;"&gt;# 当walk是左孩子时或walk是根节点时停止</span>
        walk = ancestor
        ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> ancestor


<span class="hljs-keyword" style="font-weight: bold;"&gt;if</span> right(p) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:
    walk = right(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> left(right(p)) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:  <span class="hljs-comment" style="color: #738191;"&gt;# 找最左</span>
        walk = left(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> walk
<span class="hljs-keyword" style="font-weight: bold;"&gt;else</span>:
    walk = p
    ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> ancestor <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;and</span> walk == right(ancestor):  <span class="hljs-comment" style="color: #738191;"&gt;# 当walk是左孩子时或walk是根节点时停止</span>
        walk = ancestor
        ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> ancestor

<span class="hljs-keyword" style="font-weight: bold;"&gt;if</span> right(p) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:
    walk = right(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> left(right(p)) <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span>:  <span class="hljs-comment" style="color: #738191;"&gt;# 找最左</span>
        walk = left(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> walk
<span class="hljs-keyword" style="font-weight: bold;"&gt;else</span>:
    walk = p
    ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while</span> ancestor <span class="hljs-keyword" style="font-weight: bold;"&gt;is</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;not</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;None</span> <span class="hljs-keyword" style="font-weight: bold;"&gt;and</span> walk == right(ancestor):  <span class="hljs-comment" style="color: #738191;"&gt;# 当walk是左孩子时或walk是根节点时停止</span>
        walk = ancestor
        ancestor = parent(walk)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> ancestor

 :
    
     k == p.key():
         p
     k < p.key()  T.left(p)   :
         search(T,T.left(p))
     k > p.key()  T.right(p)   :
         search(T,T.right(p))
     p


 :
    

<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;_item</span><span class="hljs-params"&gt;()</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__init__</span><span class="hljs-params"&gt;(self,key,value)</span>:</span>
        self.key = key
        self.value = value

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__eq__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key == other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__ne__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key != other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__lt__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key < other.key

<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;Position</span><span class="hljs-params"&gt;(BinaryTree.Position)</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;key</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;value</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().value


<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;_item</span><span class="hljs-params"&gt;()</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__init__</span><span class="hljs-params"&gt;(self,key,value)</span>:</span>
        self.key = key
        self.value = value

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__eq__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key == other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__ne__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key != other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__lt__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key < other.key

<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;Position</span><span class="hljs-params"&gt;(BinaryTree.Position)</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;key</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;value</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().value

<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;_item</span><span class="hljs-params"&gt;()</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__init__</span><span class="hljs-params"&gt;(self,key,value)</span>:</span>
        self.key = key
        self.value = value

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__eq__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key == other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__ne__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key != other.key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;__lt__</span><span class="hljs-params"&gt;(self,other)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.key < other.key

<span class="hljs-class"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;class</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;Position</span><span class="hljs-params"&gt;(BinaryTree.Position)</span>:</span>

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;key</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().key

    <span class="hljs-function"&gt;<span class="hljs-keyword" style="font-weight: bold;"&gt;def</span> <span class="hljs-title" style="font-weight: bold; color: #0048ab;"&gt;value</span><span class="hljs-params"&gt;(self)</span>:</span>
        <span class="hljs-keyword" style="font-weight: bold;"&gt;return</span> self.element().value

404_17@ 404_17@404_17@:@H_404_17@
    搜索算法"""@H_404_17@
    404_17@ k == p.key():
        404_17@ p
    404_17@ k < p.key():
        404_17@ self.left(p) 404_17@ 404_17@ 404_17@:
            404_17@ self._subtree_search(self.left(p),k)
    404_17@:
        404_17@ self.right(p) 404_17@ 404_17@ 404_17@:
            404_17@ self._subtree_search(self.right(p),k)
    404_17@ p

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_firstposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@

<span class="hljs-string" style="color: #0048ab;">"""返回树的最左节点"""@H40417@

walk = p

<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.left(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:

walk = self.left(walk)

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_lastposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@

<span class="hljs-string" style="color: #0048ab;">"""返回树的最右节点"""@H40417@

walk = p

<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.right(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:

walk = self.right(walk)

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_firstposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""返回树的最左节点"""@H40417@
walk = p
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.left(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
walk = self.left(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_lastposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""返回树的最右节点"""@H40417@
walk = p
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.right(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
walk = self.right(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_firstposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""返回树的最左节点"""@H40417@
walk = p
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.left(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
walk = self.left(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">_subtree_lastposition@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""返回树的最右节点"""@H40417@
walk = p
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ self.right(walk) <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
walk = self.right(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ walk

404_17@ 404_17@404_17@:@H_404_17@
    404_17@ self._subtree_first_position(
        self.root()) 404_17@ len(self) > 404_17@ 404_17@ 404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">last@H40417@<span class="hljs-params">(self)@H40417@:@H40417@

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(

self.root()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ len(self) > <span class="hljs-number">0@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">before@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@

<span class="hljs-string" style="color: #0048ab;">"""前驱位置"""@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p):

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(self.left(p))

<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:

walk = p

above = self.parent(walk)

<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.left(above):

walk = above

above = self.parent(walk)

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">after@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@

<span class="hljs-string" style="color: #0048ab;">"""后继位置"""@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.right(p):

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_firstposition(self.right(p))

<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:

walk = p

above = self.parent(walk)

<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.right(above):

walk = above

above = self.parent(walk)

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findposition@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():

<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@

<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:

p = self._subtreesearch(self.root(),k)

<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ p

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">last@H40417@<span class="hljs-params">(self)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(
self.root()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ len(self) > <span class="hljs-number">0@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">before@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""前驱位置"""@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p):
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(self.left(p))
<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:
walk = p
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.left(above):
walk = above
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">after@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""后继位置"""@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.right(p):
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_firstposition(self.right(p))
<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:
walk = p
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.right(above):
walk = above
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findposition@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ p

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">last@H40417@<span class="hljs-params">(self)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(
self.root()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ len(self) > <span class="hljs-number">0@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">before@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""前驱位置"""@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p):
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_lastposition(self.left(p))
<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:
walk = p
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.left(above):
walk = above
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">after@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-string" style="color: #0048ab;">"""后继位置"""@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.right(p):
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ self._subtree_firstposition(self.right(p))
<span class="hljs-keyword" style="font-weight: bold;">else@H40417@:
walk = p
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ above <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ walk == self.right(above):
walk = above
above = self.parent(walk)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ above

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findposition@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">return@H404_17@ p

404_17@ 404_17@404_17@:@H_404_17@
    404_17@ self.is_empty():
        404_17@ KeyError(404_17@+repr(k))
    404_17@:
        p = self._subtree_search(self.root(),k)
        404_17@ k!=p.key():
            404_17@ KeyError(404_17@ + repr(k))
        404_17@ p.value()

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">setitem@H40417@<span class="hljs-params">(self,k,v)@H40417@:@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.is_empty():

leaf = self.add_root(self.Item(k,v))

<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:

p = self._subtreesearch(self.root(),k)

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() == k:

p.element().value = v

<span class="hljs-keyword" style="font-weight: bold;">return@H40417@

<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:

item = self.Item(k,v)

<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ p.key() < k:

leaf = self.addright(p,item)

<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:

leaf = self.add_left(p,item)


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">iter@H40417@<span class="hljs-params">(self)@H40417@:@H40417@

p = self.first()

<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:

<span class="hljs-keyword" style="font-weight: bold;">yield@H404_17@ p.key()

p = self.after(p)


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">mapdelete@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p) <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ self.right(p):      <span class="hljs-comment" style="color: #738191;">#两个孩子都有的时候@H404_17@

replacement = self._subtree_lastposition(self.left(p)) <span class="hljs-comment" style="color: #738191;">#用左子树最右位置代替@H404_17@

self.replace(p,replacement.element())

p = replacement

self.delete(p)


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">delitem@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H404_17@ self.is_empty():

p = self._subtreesearch(self.root(),k)

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ k == p.key():

self.mapdelete(p)

<span class="hljs-keyword" style="font-weight: bold;">return@H40417@

<span class="hljs-keyword" style="font-weight: bold;">raise@H40417@ KeyError(<span class="hljs-string" style="color: #0048ab;">'Key Error'@H404_17@ + repr(k))

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">setitem@H40417@<span class="hljs-params">(self,k,v)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.is_empty():
leaf = self.add_root(self.Item(k,v))
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() == k:
p.element().value = v
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
item = self.Item(k,v)
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ p.key() < k:
leaf = self.addright(p,item)
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
leaf = self.add_left(p,item)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">iter@H40417@<span class="hljs-params">(self)@H40417@:@H40417@
p = self.first()
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
<span class="hljs-keyword" style="font-weight: bold;">yield@H404_17@ p.key()
p = self.after(p)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">mapdelete@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p) <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ self.right(p): <span class="hljs-comment" style="color: #738191;">#两个孩子都有的时候@H404_17@
replacement = self._subtree_lastposition(self.left(p)) <span class="hljs-comment" style="color: #738191;">#用左子树最右位置代替@H404_17@
self.replace(p,replacement.element())
p = replacement
self.delete(p)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">delitem@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H404_17@ self.is_empty():
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ k == p.key():
self.mapdelete(p)
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@
<span class="hljs-keyword" style="font-weight: bold;">raise@H40417@ KeyError(<span class="hljs-string" style="color: #0048ab;">'Key Error'@H404_17@ + repr(k))

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">setitem@H40417@<span class="hljs-params">(self,k,v)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.is_empty():
leaf = self.add_root(self.Item(k,v))
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() == k:
p.element().value = v
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
item = self.Item(k,v)
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ p.key() < k:
leaf = self.addright(p,item)
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
leaf = self.add_left(p,item)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">iter@H40417@<span class="hljs-params">(self)@H40417@:@H40417@
p = self.first()
<span class="hljs-keyword" style="font-weight: bold;">while@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@:
<span class="hljs-keyword" style="font-weight: bold;">yield@H404_17@ p.key()
p = self.after(p)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">mapdelete@H40417@<span class="hljs-params">(self,p)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ self.left(p) <span class="hljs-keyword" style="font-weight: bold;">and@H40417@ self.right(p): <span class="hljs-comment" style="color: #738191;">#两个孩子都有的时候@H404_17@
replacement = self._subtree_lastposition(self.left(p)) <span class="hljs-comment" style="color: #738191;">#用左子树最右位置代替@H404_17@
self.replace(p,replacement.element())
p = replacement
self.delete(p)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_40417@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">delitem@H40417@<span class="hljs-params">(self,k)@H40417@:@H40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H404_17@ self.is_empty():
p = self._subtreesearch(self.root(),k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ k == p.key():
self.mapdelete(p)
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@
<span class="hljs-keyword" style="font-weight: bold;">raise@H40417@ KeyError(<span class="hljs-string" style="color: #0048ab;">'Key Error'@H404_17@ + repr(k))

404_17@ 404_17@404_17@:@H_404_17@
    元组"""@H_404_17@
    404_17@ self.is_empty():
        404_17@ 404_17@
    404_17@:
        p = self.first()
        404_17@(p.key(),p.value())

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findge@H40417@<span class="hljs-params">(self,k)@H40417@:@H404_17@

<span class="hljs-string" style="color: #0048ab;">"""找第一个大于等于k的键值元组"""@H_40417@

<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():

<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@

<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:

p = self.findposition(k)

<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() < k:

p = self.after(p)

<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ (p.key(),p.value()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@


<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findrange@H40417@<span class="hljs-params">(self,start,stop)@H40417@:@H404_17@


<span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ self.is_empty():
    <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ start <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.first()
    <span class="hljs-keyword" style="font-weight: bold;"&gt;else@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.find_position(start)
        <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < start:
            p = self.after(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;and@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (stop <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;or@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < stop):
        <span class="hljs-keyword" style="font-weight: bold;"&gt;yield@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (p.key(),p.value())
        p = self.after(p)


<span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ self.is_empty():
    <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ start <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.first()
    <span class="hljs-keyword" style="font-weight: bold;"&gt;else@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.find_position(start)
        <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < start:
            p = self.after(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;and@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (stop <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;or@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < stop):
        <span class="hljs-keyword" style="font-weight: bold;"&gt;yield@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (p.key(),p.value())
        p = self.after(p)

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findge@H40417@<span class="hljs-params">(self,k)@H40417@:@H404_17@
<span class="hljs-string" style="color: #0048ab;">"""找第一个大于等于k的键值元组"""@H_40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self.findposition(k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() < k:
p = self.after(p)
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ (p.key(),p.value()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findrange@H40417@<span class="hljs-params">(self,start,stop)@H40417@:@H404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findge@H40417@<span class="hljs-params">(self,k)@H40417@:@H404_17@
<span class="hljs-string" style="color: #0048ab;">"""找第一个大于等于k的键值元组"""@H_40417@
<span class="hljs-keyword" style="font-weight: bold;">if@H404_17@ self.isempty():
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@
<span class="hljs-keyword" style="font-weight: bold;">else@H404_17@:
p = self.findposition(k)
<span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p.key() < k:
p = self.after(p)
<span class="hljs-keyword" style="font-weight: bold;">return@H40417@ (p.key(),p.value()) <span class="hljs-keyword" style="font-weight: bold;">if@H40417@ p <span class="hljs-keyword" style="font-weight: bold;">is@H40417@ <span class="hljs-keyword" style="font-weight: bold;">not@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H40417@ <span class="hljs-keyword" style="font-weight: bold;">else@H40417@ <span class="hljs-keyword" style="font-weight: bold;">None@H404_17@

<span class="hljs-function"><span class="hljs-keyword" style="font-weight: bold;">def@H_404_17@ <span class="hljs-title" style="font-weight: bold; color: #0048ab;">findrange@H40417@<span class="hljs-params">(self,start,stop)@H40417@:@H404_17@

<span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ self.is_empty():
    <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ start <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.first()
    <span class="hljs-keyword" style="font-weight: bold;"&gt;else@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@:
        p = self.find_position(start)
        <span class="hljs-keyword" style="font-weight: bold;"&gt;if@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < start:
            p = self.after(p)
    <span class="hljs-keyword" style="font-weight: bold;"&gt;while@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;not@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;and@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (stop <span class="hljs-keyword" style="font-weight: bold;"&gt;is@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;None@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ <span class="hljs-keyword" style="font-weight: bold;"&gt;or@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ p.key() < stop):
        <span class="hljs-keyword" style="font-weight: bold;"&gt;yield@H_<a href="https://www.jb51.cc/tag/404/" target="_blank" class="keywords">404</a>_17@ (p.key(),p.value())
        p = self.after(p)


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