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python数据结构之二叉树的统计与转换实例

发布时间:2020-12-16 20:15:53 所属栏目:Python 来源:网络整理
导读:一、获取二叉树的深度 就是二叉树最后的层次,如下图: 实现代码: 复制代码 代码如下: def getheight(self): ''' 获取二叉树深度 ''' return self.__get_tree_height(self.root) def __get_tree_height(self,root): if root is 0: return 0 if root.left is

一、获取二叉树的深度

就是二叉树最后的层次,如下图:



实现代码:
复制代码 代码如下:

def getheight(self):
        ''' 获取二叉树深度 '''
        return self.__get_tree_height(self.root)

    def __get_tree_height(self,root):
        if root is 0:
            return 0
        if root.left is 0 and root.right is 0:
            return 1
        else:
            left = self.__get_tree_height(root.left)
            right = self.__get_tree_height(root.right)
            if left < right:
                return right + 1
            else:
                return left + 1

二、叶子的统计

叶子就是二叉树的节点的 left 指针和 right 指针分别指向空的节点

复制代码 代码如下:

def getleafcount(self):
        ''' 获取二叉树叶子数 '''
        return self.__count_leaf_node(self.root)

    def __count_leaf_node(self,root):
        res = 0
        if root is 0:
            return res
        if root.left is 0 and root.right is 0:
            res += 1
            return res
        if root.left is not 0:
            res += self.__count_leaf_node(root.left)
        if root.right is not 0:
            res += self.__count_leaf_node(root.right)
        return res

三、统计叶子的分支节点

与叶子节点相对的其他节点 left 和 right 的指针指向其他节点

复制代码 代码如下:

def getbranchcount(self):
        ''' 获取二叉树分支节点数 '''
        return self.__get_branch_node(self.root)

    def __get_branch_node(self,root):
        if root is 0:
            return 0
        if root.left is 0 and root.right is 0:
            return 0
        else:
            return 1 + self.__get_branch_node(root.left) + self.__get_branch_node(root.right)

四、二叉树左右树互换

复制代码 代码如下:

def replacelem(self):
        ''' 二叉树所有结点的左右子树相互交换 '''
        self.__replace_element(self.root)

    def __replace_element(self,root):
        if root is 0:
            return
        root.left,root.right = root.right,root.left
        self.__replace_element(root.left)
        self.__replace_element(root.right)

这些方法和操作,都是运用递归。其实二叉树的定义也是一种递归。附上最后的完整代码:

复制代码 代码如下:

# -*- coding: utf - 8 - *-

    
class TreeNode(object):

    def __init__(self,left=0,right=0,data=0):
        self.left = left
        self.right = right
        self.data = data

    
class BinaryTree(object):

    def __init__(self,root=0):
        self.root = root

    def is_empty(self):
        if self.root is 0:
            return True
        else:
            return False

    def create(self):
        temp = input('enter a value:')
        if temp is '#':
            return 0
        treenode = TreeNode(data=temp)
        if self.root is 0:
            self.root = treenode

        treenode.left = self.create()
        treenode.right = self.create()

    def preorder(self,treenode):
        '前序(pre-order,NLR)遍历'
        if treenode is 0:
            return
        print treenode.data
        self.preorder(treenode.left)
        self.preorder(treenode.right)

    def inorder(self,treenode):
        '中序(in-order,LNR'
        if treenode is 0:
            return
        self.inorder(treenode.left)
        print treenode.data
        self.inorder(treenode.right)

    def postorder(self,treenode):
        '后序(post-order,LRN)遍历'
        if treenode is 0:
            return
        self.postorder(treenode.left)
        self.postorder(treenode.right)
        print treenode.data

    def preorders(self,treenode):
        '前序(pre-order,NLR)非递归遍历'
        stack = []
        while treenode or stack:
            if treenode is not 0:
                print treenode.data
                stack.append(treenode)
                treenode = treenode.left
            else:
                treenode = stack.pop()
                treenode = treenode.right

    def inorders(self,treenode):
        '中序(in-order,LNR) 非递归遍历'
        stack = []
        while treenode or stack:
            if treenode:
                stack.append(treenode)
                treenode = treenode.left
            else:
                treenode = stack.pop()
                print treenode.data
                treenode = treenode.right

    def postorders(self,treenode):
        '后序(post-order,LRN)非递归遍历'
        stack = []
        pre = 0
        while treenode or stack:
            if treenode:
                stack.append(treenode)
                treenode = treenode.left
            elif stack[-1].right != pre:
                treenode = stack[-1].right
                pre = 0
            else:
                pre = stack.pop()
                print pre.data

    # def postorders(self,treenode):
    #     '后序(post-order,LRN)非递归遍历'
    #     stack = []
    #     queue = []
    #     queue.append(treenode)
    #     while queue:
    #         treenode = queue.pop()
    #         if treenode.left:
    #             queue.append(treenode.left)
    #         if treenode.right:
    #             queue.append(treenode.right)
    #         stack.append(treenode)
    #     while stack:
    #         print stack.pop().data

    def levelorders(self,treenode):
        '层序(post-order,LRN)非递归遍历'
        from collections import deque
        if not treenode:
            return
        q = deque([treenode])
        while q:
            treenode = q.popleft()
            print treenode.data
            if treenode.left:
                q.append(treenode.left)
            if treenode.right:
                q.append(treenode.right)

    def getheight(self):
        ''' 获取二叉树深度 '''
        return self.__get_tree_height(self.root)

    def __get_tree_height(self,root):
        if root is 0:
            return 0
        if root.left is 0 and root.right is 0:
            return 1
        else:
            left = self.__get_tree_height(root.left)
            right = self.__get_tree_height(root.right)
            if left < right:
                return right + 1
            else:
                return left + 1

    def getleafcount(self):
        ''' 获取二叉树叶子数 '''
        return self.__count_leaf_node(self.root)

    def __count_leaf_node(self,root):
        res = 0
        if root is 0:
            return res
        if root.left is 0 and root.right is 0:
            res += 1
            return res
        if root.left is not 0:
            res += self.__count_leaf_node(root.left)
        if root.right is not 0:
            res += self.__count_leaf_node(root.right)
        return res

    def getbranchcount(self):
        ''' 获取二叉树分支节点数 '''
        return self.__get_branch_node(self.root)

    def __get_branch_node(self,root):
        if root is 0:
            return 0
        if root.left is 0 and root.right is 0:
            return 0
        else:
            return 1 + self.__get_branch_node(root.left) + self.__get_branch_node(root.right)

    def replacelem(self):
        ''' 二叉树所有结点的左右子树相互交换 '''
        self.__replace_element(self.root)

    def __replace_element(self,root.left
        self.__replace_element(root.left)
        self.__replace_element(root.right)

node1 = TreeNode(data=1)
node2 = TreeNode(node1,2)
node3 = TreeNode(data=3)
node4 = TreeNode(data=4)
node5 = TreeNode(node3,node4,5)
node6 = TreeNode(node2,node5,6)
node7 = TreeNode(node6,7)
node8 = TreeNode(data=8)
root = TreeNode(node7,node8,'root')

    
bt = BinaryTree(root)

print u'''

生成的二叉树

------------------------
         root
      7        8
    6
  2   5
1    3 4

-------------------------

'''

(编辑:李大同)

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