题目描述:
Given inorder and postorder traversal of a tree, construct the binary tree.
Note:
You may assume that duplicates do not exist in the tree.
For example, given
inorder = [9,3,15,20,7]postorder = [9,15,7,20,3] Return the following binary tree: 3 / \ 9 20 / \ 15 7 inorder = [6,8,4,9,3,15,20,7] postorder = [6,4,8,9,15,7,20,3] 3 / \ 9 20 / / \ 8 15 7 / \ 6 4 ps: 以 postorder为中心进行分类
题目分析:根据中序和后序遍历,构造二叉树。 根据动态规划方法,找出循环的共性。
构造子二叉树,需要节点,和左右连接,从后序遍历找出根节点,从inorder对目标序列进行切分,如此往复。
# Definition for a binary tree node.
class TreeNode:
def __init__(self, x):
self.val = x
self.left = None
self.right = None
class Solution:
def buildTree(self, inorder, postorder):
"""
:type inorder: List[int]
:type postorder: List[int]
:rtype: TreeNode
"""
if not postorder:
return None
node_center_frompost=postorder.pop()
index_center_inorder=inorder.index(node_center_frompost)
node=TreeNode(node_center_frompost)
node.left=self.buildTree(inorder[:index_center_inorder],postorder[:index_center_inorder])
node.right=self.buildTree(inorder[index_center_inorder+1:],postorder[index_center_inorder:])
return node
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