Leetcode_106_Construct Binary Tree from Inorder and Postorder Traversal
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Given inorder and postorder traversal of a tree, construct the binary tree.
Note:
You may assume that duplicates do not exist in the tree.
根据中序和后序遍历确定一个二叉树,一开始打算每一个都用vector储存,结果内存超限了。
内存超限代码:
/** * Definition for a binary tree node. * 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) { TreeNode *head = getBinaryTree(inorder, postorder); return head; } TreeNode *getBinaryTree(vector<int>& inorder, vector<int>& postorder) { if(inorder.size() == 0) return NULL; vector<int>::iterator it = postorder.end() - 1; TreeNode *head = new TreeNode(*it); if(postorder.size() == 1) { return head; } else { vector<int>::iterator center = find(inorder.begin(), inorder.end(),head->val); vector<int> left_inorder; for(vector<int>::iterator temp = inorder.begin();temp < center;temp++) { left_inorder.push_back(*temp); } vector<int> left_post; int i = 0; for(;i<left_inorder.size();i++) { left_post.push_back(postorder[i]); } head->left = getBinaryTree(left_inorder, left_post); vector<int> right_inorder; vector<int> right_post; for(vector<int>::iterator temp = center+1;temp<inorder.end();temp++) { right_inorder.push_back(*temp); } for(int j = 0;j<right_inorder.size();j++,i++) { right_post.push_back(postorder[i]); } head->right = getBinaryTree(right_inorder, right_post); return head; } }};
后来上网上查看了一下题解发现不用那么麻烦,直接在原向量上操作即可。看了思路之后还是错了好几次,主要原因就是边界的确定。
AC代码
/** * Definition for a binary tree node. * 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 getBinaryTree(inorder, 0, inorder.size() -1, postorder, 0, inorder.size()-1); } TreeNode *getBinaryTree(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 *head = new TreeNode(postorder[end2]); int i = begin1; for(i;i<=end1;i++) { if(inorder[i] == postorder[end2]) break; } int leftlen = i - begin1; head->left = getBinaryTree(inorder, begin1, begin1+leftlen - 1, postorder, begin2, begin2 + leftlen -1);//注意边界 head->right = getBinaryTree(inorder, begin1+leftlen+1, end1, postorder, begin2+leftlen, end2 - 1);//注意边界 return head; }};
解体的关键就是求出中序遍历中根结点的位置和左子树的长度。下次再做一个前序和中序遍历的题再练练这种思路。
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