Construct Binary Tree from Preorder and Inorder Traversal

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

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

可与Construct Binary Tree from Inorder and Postorder Traversal对照来看。

前序遍历Preorder的第一个节点为根,由于没有重复值,可使用根将中序Inorder划分为左右子树。

递归下去即可。

/**
* 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> &preorder, vector<int> &inorder) {
return Helper(preorder, , preorder.size()-, inorder, , inorder.size()-);
} TreeNode* Helper(vector<int> &preorder, int begin1, int end1, vector<int> &inorder, int begin2, int end2)
{
if(begin1 > end1)
return NULL;
else if(begin1 == end1)
return new TreeNode(preorder[begin1]); TreeNode* root = new TreeNode(preorder[begin1]);
int i = begin2;
for(; i <= end2; i ++)
{
if(inorder[i] == preorder[begin1])
break;
}
//inorder[i] is the root
int leftlen = i-begin2; //preorder[begin1] is root
//inorder[begin2+leftlen] is root
root->left = Helper(preorder, begin1+, begin1+leftlen, inorder, begin2, begin2+leftlen-);
root->right = Helper(preorder, begin1+leftlen+, end1, inorder, begin2+leftlen+, end2);
return root;
}
};

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