Problem Description:
Given a binary search tree, write a function kthSmallest to find the kth smallest element in it.
Note:
You may assume k is always valid, 1 ≤ k ≤ BST’s total elements.
Follow up:
What if the BST is modified (insert/delete operations) often and you need to find the kth smallest frequently? How would you optimize the kthSmallest routine?
Hint:
Try to utilize the property of a BST.
What if you could modify the BST node’s structure?
The optimal runtime complexity is O(height of BST).
题目大意:
给一个BST,找出第K小的元素。
Solutions:
先遍历一次,按顺序存下来,再返回特定坐标即可。
Code in C++:
/**
* 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:
int kthSmallest(TreeNode* root, int k) {
stack<TreeNode*> st;
vector<int> ans;
while(!st.empty()||root)
{
while(root)
{
st.push(root);
root=root->left;
}
TreeNode* tem=st.top();
ans.push_back(tem->val);
st.pop();
if(tem->right)
root=tem->right;
}
return ans[k-1];
}
};
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