Tuesday, September 10, 2013

Recover Binary Search Tree

LeetCode

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 "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.

Solution: 
Use an extra class called Pre_first_second, which is used to record the previous node of current root node, first wrong node and second wrong node, preoder-traverse the entire tree find the invalid two nodes and store hem into pre-first_sercond structure. 

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?
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
// 1/31/2014 rewrite version
class Pre_First_Second{
TreeNode pre=null;
TreeNode first=null;
TreeNode second=null;
}
public class Solution {
public void recoverTree(TreeNode root) {
if (root==null){
return;
}
Pre_First_Second pfs=new Pre_First_Second();
findBadPoints(root, pfs);
int temp=pfs.second.val;
pfs.second.val=pfs.first.val;
pfs.first.val=temp;
}
private void findBadPoints(TreeNode root, Pre_First_Second pfs){
if (root==null){
return;
}
findBadPoints(root.left, pfs);
if (pfs.pre!=null&& pfs.pre.val>root.val){
if (pfs.first==null){
pfs.first=pfs.pre;
}
pfs.second=root;
}
pfs.pre=root;
findBadPoints(root.right, pfs);
}
}
// below is old version
class Pre_first_second{
TreeNode first=null;
TreeNode second=null;
TreeNode pre=null;
}
public class Solution {
public void recoverTree(TreeNode root) {
// Start typing your Java solution below
// DO NOT write main() function
// ArrayList<TreeNode>pre_first_second=new ArrayList<TreeNode>(3);
Pre_first_second pre_first_second=new Pre_first_second();
inorder(root,pre_first_second);
TreeNode mistakeNode1=pre_first_second.first;
TreeNode mistakeNode2=pre_first_second.second;
int temp=mistakeNode1.val;
mistakeNode1.val=mistakeNode2.val;
mistakeNode2.val=temp;
}
public void inorder(TreeNode root, Pre_first_second pre_first_second){
if (root==null){
return;
}
inorder(root.left, pre_first_second);
if (pre_first_second.pre==null){
pre_first_second.pre=root;
}
else{
if (pre_first_second.pre.val>root.val){
if(pre_first_second.first==null){
pre_first_second.first=pre_first_second.pre;
}
pre_first_second.second=root;
}
pre_first_second.pre=root;
}
inorder(root.right,pre_first_second);
}
}

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