Recover Binary Search Tree
2014-05-13 09:53
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Two elements of a binary search tree (BST) are swapped by mistake.
Recover the tree without changing its structure.
Note:
A solution using O(n) space is pretty straight forward. Could you devise a constant space solution?
confused what
OJ's Binary Tree Serialization:
The serialization of a binary tree follows a level order traversal, where '#' signifies a path terminator where no node exists below.
Here's an example:
The above binary tree is serialized as
修正二叉树中错误的两个结点,在不改变结构的情况下。
思路:首先想到的就是中序遍历二叉搜索树,中序遍历二叉搜索树的结点是按从小到大的顺序,如果出现该节点值比前一个结点小,则说明这个值不合法。用pPre存中序遍历的前一个结点,方便比较大小,first和second分别保存较大的和较小的值。
Recover the tree without changing its structure.
Note:
A solution using O(n) space is pretty straight forward. Could you devise a constant space solution?
confused what
"{1,#,2,3}"means? > read more on how binary tree is serialized on OJ.
OJ's Binary Tree Serialization:
The serialization of a binary tree follows a level order traversal, where '#' signifies a path terminator where no node exists below.
Here's an example:
1 / \ 2 3 / 4 \ 5
The above binary tree is serialized as
"{1,2,3,#,#,4,#,#,5}".
修正二叉树中错误的两个结点,在不改变结构的情况下。
思路:首先想到的就是中序遍历二叉搜索树,中序遍历二叉搜索树的结点是按从小到大的顺序,如果出现该节点值比前一个结点小,则说明这个值不合法。用pPre存中序遍历的前一个结点,方便比较大小,first和second分别保存较大的和较小的值。
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: void recoverMistake(TreeNode *root,TreeNode *&first,TreeNode *&second,TreeNode *&pPre) { if(root==NULL) return; recoverMistake(root->left,first,second,pPre); if(pPre && pPre->val>root->val) { if(first==NULL) { first=pPre; second=root; } else { second=root; } } pPre=root; recoverMistake(root->right,first,second,pPre); } void recoverTree(TreeNode *root) { TreeNode *first=NULL,*second=NULL,*pPre=NULL; recoverMistake(root,first,second,pPre); swap(first->val,second->val); } };
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