Construct Binary Tree from Inorder and Postorder Traversal

Given inorder and postorder traversal of a tree, construct the binary tree.

Note:
You may assume that duplicates do not exist in the tree.

根据定义,后序遍历postorder的最后一个元素为根。

由于元素不重复,通过根可以讲中序遍历inorder划分为左子树和右子树。

递归下去即可求解。

/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
TreeNode *buildTree(vector<int> &inorder, vector<int> &postorder) {
return Helper(inorder, , inorder.size()-, postorder, , postorder.size()-);
}
TreeNode* Helper(vector<int>& inorder, int begin1, int end1, vector<int>& postorder, int begin2, int end2)
{
if(begin1 > end1)
return NULL;
else if(begin1 == end1)
return new TreeNode(inorder[begin1]); TreeNode* root = new TreeNode(postorder[end2]);
int i = begin1;
for(; i <= end1; i ++)
{
if(inorder[i] == postorder[end2])
break;
}
int leftlen = i-begin1; root->left = Helper(inorder, begin1, begin1+leftlen-, postorder, begin2, begin2+leftlen-);
root->right = Helper(inorder, begin1+leftlen+, end1, postorder, begin2+leftlen, end2-);
return root;
}
};

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