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
根据后序遍历确定根节点,在中序遍历中搜索根节点,然后得到左子树和右子树的后序遍历和中序遍历,从而调用递归。
class Solution {
public:
TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {
if(inorder.size()==0) return NULL;
int x=postorder.back();
for(int i=0;i<inorder.size();i++)
{
if(inorder[i]==x)
{
TreeNode* root=new TreeNode(x);
vector<int> left_inorder(inorder.begin(),inorder.begin()+i);
vector<int> left_postorder(postorder.begin(),postorder.begin()+i);
vector<int> right_inorder(inorder.begin()+i+1,inorder.end());
vector<int> right_postorder(postorder.begin()+i,postorder.end()-1);
root->left=buildTree(left_inorder,left_postorder);
root->right=buildTree(right_inorder,right_postorder);
return root;
}
}
}
};
本文介绍了一种通过给定的中序和后序遍历构建二叉树的方法,并提供了一个C++实现示例。
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