Problem Description:
Two elements of a binary search tree (BST) are swapped by mistake.
Recover the tree without changing its structure.
Note:
confused what "{1,#,2,3}" means? >
read more on how binary tree is serialized on OJ.
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}".
分析:題目意思是在一個兒叉搜索樹中有兩個數字的位置顛倒了,要求找出來並恢復正常的順序,很容易想到的一種做法是利用中序遍歷存儲下來所有節點的指針,然後遍歷這個中序序列找到兩個顛倒的節點,然後進行交換,下面的這個思路是在網上看到的,直接中序遍歷的時候每次和前面的一個節點進行比較,找到兩個顛倒的節點p1,p2,然後進行交換,不需要先將中序遍歷保存下來然後遍歷,具體代碼如下:
/**
* 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 *pre,*p1,*p2;
void helper(TreeNode *root)
{
if(root==NULL)
return;
helper(root->left);
if(pre&&pre->val>root->val)//找到第一對逆序的兩個數
{
if(p1==NULL)//先找到p1
{
p1=pre;
p2=root;
}
else//如果找到第二對逆序的兩個數則是p2
{
p2=root;
}
}
pre=root;//先將pre初始化為root
helper(root->right);
}
void recoverTree(TreeNode *root) {
if(root==NULL)
return;
pre=p1=p2=NULL;
helper(root);
int temp;
temp=p1->val;
p1->val=p2->val;
p2->val=temp;
return;
}
};