Python算法-二叉樹深度優先遍歷


二叉樹

組成:

1、根節點  BinaryTreeroot

 

2、每一個節點,都有左子節點和右子節點(可以為空)  TreeNodevalueleftright

 

二叉樹的遍歷:

遍歷二叉樹:深度優先遍歷、廣度優先遍歷。

 

 

 

廣度:先遍歷兄弟節點,再遍歷子節點    

深度:先遍歷子節點,再遍歷兄弟節點

上圖深度遍歷結果:50/20/60/15/30/70

上圖廣度遍歷結果:50/20/15/30/60/70

 

深度遍歷又分為先序、中序、后序的遍歷方式:

 

先序遍歷:先根節點,再左子樹,再右子樹

上圖先序遍歷結果:50/20/ 15/ 30/ 60/ 70

 

中序遍歷:先左子樹,再根節點,再右子樹

上圖中序遍歷結果:15/20/30/50/60/70

 

后序遍歷:先左子樹,再右子樹,再根節點

上圖后序遍歷結果:15/30/20/70/60/50

 

 

代碼實現:

 

# encoding=utf-8

 

class TreeNode(object): #定義二叉樹類

    def __init__(self,val,left=None,right=None):

        self.val = val

        self.left = left

        self.right = right

 

class BinaryTree(object):

    def __init__(self,root=None):

        self.root = root

 

    def preScan(self,retList, node): #先序遍歷:先跟、再左、后右

        if node != None:

            retList.append(node.val)

            self.preScan(retList, node.left)

            self.preScan(retList, node.right)

        return retList

 

    def midScan(self, retList, node): #中序遍歷:先左、再跟、后右

        if node != None:

            self.midScan(retList, node.left)

            retList.append(node.val)

            self.midScan(retList, node.right)

        return retList

 

    def postScan(self, retList, node): #后序遍歷:先左、再右、后跟

        if node != None:

            self.postScan(retList, node.left)

            self.postScan(retList, node.right)

            retList.append(node.val)

        return retList

 

if __name__ =='__main__':

    root = TreeNode(50)

    root.left = TreeNode(20,left=TreeNode(15),right=TreeNode(30,right=TreeNode(12)))

    root.right = TreeNode(60,right=TreeNode(70))

bTree = BinaryTree(root)

retList = bTree.preScan([],bTree.root)

print retList

retList2 = bTree.midScan([],bTree.root)

print retList2

retList3 = bTree.postScan([],bTree.root)

print retList3

 


免責聲明!

本站轉載的文章為個人學習借鑒使用,本站對版權不負任何法律責任。如果侵犯了您的隱私權益,請聯系本站郵箱yoyou2525@163.com刪除。



 
粵ICP備18138465號   © 2018-2025 CODEPRJ.COM