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数据结构与算法--8.二叉树的基础知识

發布時間:2023/12/20 编程问答 26 豆豆
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文章目錄

  • 一. 二叉樹基本概念
  • 二. 二叉樹的性質
  • 三. 二叉樹的代碼實現
  • 四. 二叉樹的先序、中序、后序遍歷

一. 二叉樹基本概念

二. 二叉樹的性質


三. 二叉樹的代碼實現

class Node(object):"""二叉樹節點"""def __init__(self,item):self.elem = itemself.lchild = Noneself.rchild = Noneclass Tree(object):"""二叉樹"""def __init__(self):self.root = Nonedef add(self,item):node = Node(item)if self.root is None:self.root = nodereturnqueue = [self.root]while queue:cur_node = queue.pop(0)if cur_node.lchild is None:cur_node.lchild = nodereturnelse:queue.append(cur_node.lchild)if cur_node.rchild is None:cur_node.rchild = nodereturnelse:queue.append(cur_node.rchild)def breadth_travel(self):"""廣度遍歷"""if self.root is None:returnqueue = [self.root]while queue:cur_node = queue.pop(0)print(cur_node.elem)if cur_node.lchild is not None:queue.append(cur_node.lchild)if cur_node.rchild is not None:queue.append(cur_node.rchild)if __name__ == '__main__':tree = Tree()tree.add(0)tree.add(1)tree.add(2)tree.add(3)tree.add(4)tree.add(5)tree.add(6)tree.add(7)tree.add(8)tree.add(9)tree.breadth_travel()

四. 二叉樹的先序、中序、后序遍歷

class Node(object):"""二叉樹節點"""def __init__(self,item):self.elem = itemself.lchild = Noneself.rchild = Noneclass Tree(object):"""二叉樹"""def __init__(self):self.root = Nonedef add(self,item):node = Node(item)if self.root is None:self.root = nodereturnqueue = [self.root]while queue:cur_node = queue.pop(0)if cur_node.lchild is None:cur_node.lchild = nodereturnelse:queue.append(cur_node.lchild)if cur_node.rchild is None:cur_node.rchild = nodereturnelse:queue.append(cur_node.rchild)def breadth_travel(self):"""廣度遍歷"""if self.root is None:returnqueue = [self.root]while queue:cur_node = queue.pop(0)print(cur_node.elem)if cur_node.lchild is not None:queue.append(cur_node.lchild)if cur_node.rchild is not None:queue.append(cur_node.rchild)def preorder(self,node):"""先序遍歷"""if node is None:returnprint(node.elem,end=" ")self.preorder(node.lchild)self.preorder(node.rchild)def inorder(self,node):"""中序遍歷"""if node is None:returnself.inorder(node.lchild)print(node.elem,end=" ")self.inorder(node.rchild)def postorder(self,node):"""后序遍歷"""if node is None:returnself.postorder(node.lchild)self.postorder(node.rchild)print(node.elem,end=" ")if __name__ == '__main__':tree = Tree()tree.add(0)tree.add(1)tree.add(2)tree.add(3)tree.add(4)tree.add(5)tree.add(6)tree.add(7)tree.add(8)tree.add(9)tree.breadth_travel()# print(" ")tree.preorder(tree.root)print(" ")tree.inorder(tree.root)print(" ")tree.postorder(tree.root)print(" ")

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