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 \ 5The 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; } };